Silvestru Sever Dragomir

Silvestru Sever Dragomir

Adjunct Industry Associate Professor
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Professor Sever Dragomir has an internationally recognised research track record in Theory of Inequalities, Approximation Theory, Mathematical Analysis, Information Theory, Numerical Analysis, Functional Analysis and Operator Theory. He has more than 1,287 journal articles published in prestigious journal in these fields. He is also the author of 12 books and the editor of other 10 books. These are accredited by the Mathematical Reviews of the American Mathematical Society and can be viewed in the database MathSciNet.

 

As shown by Google Scholar, his work has a significant impact in these fields by attracting numerous citations, currently over 37,707 with an h-index of 89 and i10-index of 608.

 

His published work is also profiled by Microsoft Academics and Research Gate.

 

Sever was the Principal supervisor of PhD students Dr Eder Kikianty (graduated 2011, won the VC pick award and Medal) and Dr Alawiah Ibrahim (graduated 2014, won the VC Medal). He supervised Dr Jayson A. Grant (graduated 2014) and was the principal supervisor of Dr. G. Hanna (graduated 2008, won VC Medal) and Dr F. Cirstea (graduated 2005, won VC pick award), currently an Associate Professor in the School of Mathematics at Sydney University.

 

At the beginning of his appointment as a Chair in Mathematical Inequalities at VU, Sever founded in 1998 the Research Group in Mathematical Inequalities and Applications (RGMIA) that is comprised of more than 1,300 academics and researchers from Australia, Asia, Africa, Europe and North America. The aims of the group are to disseminate results via publication in electronic form and conferences, create an awareness of the theory of inequalities and support seminars and visiting academics, illustrate the applicability of inequalities in the sciences, for example, in numerical analysis (including quadrature and integral equations), statistics, probability and information theory.

 

In 2004 Sever founded, as Editor in Chief, the Australian Journal of Mathematical Analysis and Applications (AJMAA) that accepts high quality research papers in all areas of Mathematical Analysis and its numerous applications. The journal is reviewed by Mathematical Reviews (in USA), Zentralblatt für Mathematik (in Europe) and Ulrich's Periodicals Directory, and is covered by SCOPUS and SCIMAGO from 2008.

 

As an international recognition for his work, Sever was also appointed in the Editorial Board(external link) of more than 30 prestigious international journals in the field of Mathematical Analysis and Applications. 

Research interests

Recent Publications     JOURNAL ARTICLE Quantum symmetric analysis of interval-valued mappings based on generalized Hukuhara differences 1 Jan 2026Journal of Mathematics and Computer Science40(1):1-21 Co-authors:Javed MZ, Awan MU, Stoenoiu CE...3 more 10.22436/jmcs.040.01.01   JOURNAL ARTICLE Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes 1 Dec 2025Journal of Inequalities and Applications2025(1) Co-authors:Lakhdari A, Awan MU, Dragomir SS...2 more View PDF10.1186/s13660-025-03251-4 1   JOURNAL ARTICLE Selberg’s Inequality and Selberg Operator Bounds in Hilbert Spaces with Applications 25 Jul 2025Axioms14(8):575MDPI Co-authors:Aljawi S, Conde C, Dragomir SS...1 more View PDF10.3390/axioms14080575   JOURNAL ARTICLE Some Discrete Inequalities for Convex Functions Defined on Linear Spaces 30 Jun 2025Advances in Analysis and Applied Mathematics2(1):11 pagesAdvances in Analysis and Applied Mathematics Co-authors:Dragomir SS View PDF10.62298/advmath.28   JOURNAL ARTICLE Some Tensorial and Hadamard Product Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces 30 Jun 2025Turkish Journal of Mathematics and Computer Science17(1):47-58Turkish Journal of Mathematics and Computer Science, Association of Mathematicians Co-authors:Dragomir SS 10.47000/tjmcs.1362700   JOURNAL ARTICLE Refinements of Aczél-Popoviciu and Bellman Inequalities 25 Jun 2025Annals of West University of Timisoara - Mathematics and Computer Science61(1):31-40De Gruyter Co-authors:Miao J, Dragomir SS View PDF10.2478/awutm-2025-0003   JOURNAL ARTICLE New norm inequalities for Jensen’s gap of analytic functions in Banach algebras with applications 1 Jun 2025Georgian Mathematical Journal32(3):415-429 Co-authors:Dragomir SS, Garayev MT 10.1515/gmj-2024-2070 1   JOURNAL ARTICLE On some new upper bounds for numerical radius 1 Jun 2025Asian European Journal of Mathematics18(6) Co-authors:Bilal R, Hyder J, Saeed Akram M...1 more 10.1142/S1793557124501420   JOURNAL ARTICLE Lipschitz Type Inequalities for an Integral Transform of Positive Operators With Applications 14 Apr 2025Sarajevo Journal of Mathematics20(2):263-280ACADEMY OF SCIENCES AND ARTS OF BOSNIA AND HERZEGOVINA Co-authors:Dragomir SS View PDF10.5644/sjm.20.02.09   JOURNAL ARTICLE Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces via Two Tominaga s Results 14 Apr 2025Journal of Inequalities and Mathematical Analysis (JIMA)1(1):28-46OJS Dergi Academic Co-authors:Dragomir SS 10.63286/jima.2025.03   JOURNAL ARTICLE Some Bounds for the Generalized Spherical Numerical Radius of Operator Pairs with Applications 1 Apr 2025Mathematics13(7) Co-authors:Altwaijry N, Dragomir SS, Feki K...1 more View PDF10.3390/math13071199   JOURNAL ARTICLE Some Hermite-Hadamard Type Inequalities for Convex Functions Defined on Convex Bodies Via Gauss-Ostrogradsky Identity 1 Apr 2025Iranian Journal of Mathematical Sciences and Informatics20(1):175-191 (17 pages)Iranian Academic Center for Education, Culture and Research Co-authors:Dragomir SS View PDF10.61186/ijmsi.20.1.175   JOURNAL ARTICLE SOME NEW INEQUALITIES FOR HYPO-q-NORMS ON A CARTESIAN PRODUCT OF NORMED LINEAR SPACES 28 Feb 2025Australian Journal of Mathematical Analysis and Applications22(1):23 pagesAustralian Internet Publishing Co-authors:Dragomir SS VIEW MORE INFO JOURNAL ARTICLE Tensorial and Hadamard product integral inequalities for convex functions of continuous fields of operators in Hilbert spaces 28 Feb 2025Hacettepe Journal of Mathematics and Statistics54(1):115-124 Co-authors:Dragomir SS 10.15672/hujms.1362698   BOOK CHAPTER Some Inequalities of Trapezoid Type for Double Integral Mean of Absolutely Continuous Functions 25 Feb 2025Mathematical Analysis, Optimization, Approximation and Applications227-261World Scientific Publishing Co-authors:Dragomir SS, Pardalos PM (Editor), Rassias TM (Editor) 10.1142/9789811293009_0011   JOURNAL ARTICLE Some study of the orthogonalities based on double integrals 1 Feb 2025Rendiconti del Circolo Matematico di Palermo74(1):10 pagesSpringer Nature Co-authors:Wang R, Liu Q, Xia J...1 more 10.1007/s12215-024-01140-1   JOURNAL ARTICLE GENERALIZED HERMITE-HADAMARD INEQUALITIES FOR (α, η, γ, δ) − p CONVEX FUNCTIONS 9 Jan 2025Rad Hrvatske Akademije Znanosti i Umjetnosti, Matematicke Znanosti29(564):145-186Croatian Academy of Sciences and Arts Co-authors:Bilal M, Dragomir SS, Khan AR View PDF10.21857/mzvkptoj19   BOOK CHAPTER Bounds for the Unweighted Jensen’s Gap of Absolutely Continuous Functions 1 Jan 2025Springer Optimization and Its Applications223:51-69 Co-authors:Dragomir SS 10.1007/978-3-031-87057-6_3   JOURNAL ARTICLE Further norm and numerical radii inequalities for operators involving a positive operator 1 Jan 2025Aims Mathematics10(2):2684-2696 Co-authors:Altwaijry N, Conde C, Dragomir SS...1 more View PDF10.3934/math.2025126 1   JOURNAL ARTICLE Hypo-q-Norms on a Cartesian Product of Normed Linear Spaces 1 Jan 2025Annals of the University of Craiova, Mathematics and Computer Science Series52(1):187-201Universitaria Publishing House, University of Craiova Co-authors:Dragomir SS 10.52846/ami.v52i1.1942   JOURNAL ARTICLE INEQUALITIES FOR TWO POWER SERIES OF NONCOMMUTATIVE OPERATORS IN HILBERT SPACES WITH APPLICATIONS TO NUMERICAL RADIUS 1 Jan 2025Journal of Mathematical Inequalities19(1):99-118 Co-authors:Dragomir SS, Garayev MT 10.7153/jmi-2025-19-07   JOURNAL ARTICLE JENSEN TYPE INEQUALITIES FOR (m,M,Ψ)–CONVEX FUNCTIONS WITH APPLICATIONS 1 Jan 2025Mathematical Inequalities and Applications28(1):19-42 Co-authors:Dragomir SS, Bradanović SI, Lovričević N 10.7153/mia-2025-28-02   JOURNAL ARTICLE Majorization-type inequalities for (m, M, ψ)convex functions with applications 1 Jan 2025Open Mathematics23(1) Co-authors:Dragomir SS, Bradanović SI, Lovričević N View PDF10.1515/math-2025-0130   JOURNAL ARTICLE New Bounds for the Euclidean Numerical Radius of Two Operators in Hilbert Spaces 1 Jan 2025Symmetry17(1) Co-authors:Altwaijry N, Dragomir SS, Feki K...1 more View PDF10.3390/sym17010007   JOURNAL ARTICLE Power inequalities for weighted numerical radius and norm of operators 1 Jan 2025Georgian Mathematical Journal Co-authors:Altwaijry N, Dragomir SS, Feki K   JOURNAL ARTICLE TENSORIAL NORM INEQUALITIES FOR TAYLOR’S EXPANSIONS OF FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES 1 Jan 2025Journal of Mathematical Inequalities19(1):1-16 Co-authors:Dragomir SS, Garayev MT 10.7153/jmi-2025-19-01   JOURNAL ARTICLE Young type integral inequalities for tensorial and Hadamard products of continuous fields of operators in Hilbert spaces 1 Jan 2025NEW YORK JOURNAL OF MATHEMATICS31:792-817 (26 pages)ELECTRONIC JOURNALS PROJECT Co-authors:Dragomir SS, Garayev MT VIEW MORE INFO BOOK CHAPTER Some applications of a kittaneh inequality to operator-valued integrals on Hilbert spaces 30 Dec 2024Mathematical Analysis Theory and Applications66-100 Co-authors:Dragomir SS 10.1201/9781003530602-5   JOURNAL ARTICLE Perturbed weighted trapezoid inequalities for convex functions with applications 1 Dec 2024Cubo26(3):507-523 Co-authors:Dragomir SS, Kikianty E View PDF10.56754/0719-0646.2603.507   JOURNAL ARTICLE Lower and Upper Bounds for the Generalized Csiszár f-divergence Operator Mapping 1 Nov 2024Results in Mathematics79(7) Co-authors:Dragomir SS, Nikoufar I 10.1007/s00025-024-02266-5   JOURNAL ARTICLE Bounds for operator noncommutative perspectives Via Ostrowski’s inequality 1 Oct 2024Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas118(4) Co-authors:Dragomir SS, Garayev MT 10.1007/s13398-024-01661-5 1   JOURNAL ARTICLE On Extended Class of Totally Ordered Interval-Valued Convex Stochastic Processes and Applications 1 Oct 2024Fractal and Fractional8(10) Co-authors:Javed MZ, Awan MU, Ciurdariu L...2 more View PDF10.3390/fractalfract8100577 6   JOURNAL ARTICLE Generalized convexity and integral inequalities 15 Sep 2024Mathematical Methods in the Applied Sciences47(13):10559-10573 Co-authors:Dragomir S, Jleli M, Samet B 10.1002/mma.6293 2   JOURNAL ARTICLE An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications Sep 2024AXIOMS13(9):19 pagesMDPI Co-authors:Bin-Mohsin B, Lakhdari A, Karabadji NEI...4 more View PDF10.3390/axioms13090653 2   JOURNAL ARTICLE Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces 1 Sep 2024Mathematics12(18) Co-authors:Altwaijry N, Sever Dragomir S, Feki K View PDF10.3390/math12182838 1   JOURNAL ARTICLE Inequalities for linear combinations of orthogonal projections and applications 1 Sep 2024Journal of Pseudo Differential Operators and Applications15(3) Co-authors:Altwaijry N, Conde C, Dragomir SS...1 more 10.1007/s11868-024-00640-z 1   JOURNAL ARTICLE Power Bounds for the Numerical Radius of the Off-Diagonal 2 × 2 Operator Matrix 1 Sep 2024Symmetry16(9) Co-authors:Altwaijry N, Dragomir SS, Feki K View PDF10.3390/sym16091199   JOURNAL ARTICLE Some Classical Inequalities Associated with Generic Identity and Applications Aug 2024AXIOMS13(8):31 pagesMDPI Co-authors:Javed MZ, Awan MU, Bin-Mohsin B...2 more View PDF10.3390/axioms13080533 2   BOOK CHAPTER Vector Inequalities for Analytic Functions of Operators in Hilbert Spaces and Applications for Numerical Radius and p-Schatten Norm Aug 2024Mathematical Analysis, Differential Equations and ApplicationsSeries on Computers and Operations Research11:225-273World Scientific Publishing Co-authors:Dragomir SS 10.1142/9789811267048_0008   JOURNAL ARTICLE Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space 10 Jun 2024European Journal of Mathematical Analysis4:17SCIK Publishing Co-authors:Stojiljković V, Dragomir SS View PDF10.28924/ada/ma.4.17 2   JOURNAL ARTICLE Bullen-Mercer type inequalities with applications in numerical analysis 1 Jun 2024Alexandria Engineering Journal96:15-33 Co-authors:Vivas–Cortez M, Javed MZ, Awan MU...2 more View PDF10.1016/j.aej.2024.03.093 9 JOURNAL ARTICLE Tensorial and Hadamard product inequalities of Schwarz type for selfadjoint operators in Hilbert spaces 1 Jun 2024Sut Journal of Mathematics60(1):1-16 Co-authors:Dragomir SS 10.55937/sut/1717241617   JOURNAL ARTICLE An Ostrowski Type Tensorial Norm Inequality for Continuous Functions of Selfadjoint Operators in Hilbert Spaces 3 May 2024Maltepe Journal of Mathematics6(1):1-14Maltepe Journal of Mathematics Co-authors:Dragomır S 10.47087/mjm.1362713 1   JOURNAL ARTICLE Some New f-Divergence Measures and Their Basic Properties 14 Apr 2024Mathematical Sciences and Applications E Notes12(2):43-59 Co-authors:Dragomir SS 10.36753/mathenot.1362706   JOURNAL ARTICLE Some Refinements and Reverses of Callebaut's Inequality for Isotonic Functionals via a Result Due to Cartwright and Field 31 Mar 2024Fundamental Journal of Mathematics and Applications7(1):1-11Fundamental Journal of Mathematics and Applications Co-authors:Dragomır S View PDF10.33401/fujma.1362681   JOURNAL ARTICLE Hölder-Type Inequalities for Power Series of Operators in Hilbert Spaces Mar 2024AXIOMS13(3):21 pagesMDPI Co-authors:Altwaijry N, Dragomir SS, Feki K View PDF10.3390/axioms13030172 2   JOURNAL ARTICLE Norm and Numerical Radius Inequalities for Sums of Power Series of Operators in Hilbert Spaces Mar 2024AXIOMS13(3):18 pagesMDPI Co-authors:Altwaijry N, Dragomir SS, Feki K View PDF10.3390/axioms13030174 1   JOURNAL ARTICLE Optical soliton solutions of fokas system and (2 + 1) Davey-Stewartson system by mapping method 1 Mar 2024Physica Scripta99(3) Co-authors:Ahmed N, Rani M, Dragomir SS...1 more 10.1088/1402-4896/ad22c4 4   JOURNAL ARTICLE Refinements and Reverses of Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces Related to Young's Result 19 Feb 2024Communications in Advanced Mathematical SciencesCommunications in Advanced Mathematical Sciences Co-authors:DRAGOMIR S View PDF10.33434/cams.1362711 5   JOURNAL ARTICLE Refinement of the Cauchy-Schwartz inequality with refinements and generalizations of the numerical radius type inequalities for operators 17 Feb 2024Annals of Mathematics and Computer Science21:33-43Vertex Academic Press Co-authors:Stojiljkovic V, Dragomir SS
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RMIT University acknowledges the people of the Woi wurrung and Boon wurrung language groups of the eastern Kulin Nation on whose unceded lands we conduct the business of the University. RMIT University respectfully acknowledges their Ancestors and Elders, past and present. RMIT also acknowledges the Traditional Custodians and their Ancestors of the lands and waters across Australia where we conduct our business - Artwork 'Sentient' by Hollie Johnson, Gunaikurnai and Monero Ngarigo.

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