Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley +1 more source
Inequalities for Stieltjes Integrals with Convex Integrators and Applications [PDF]
, 2005 Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given.
Dragomir, Sever S
core
Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications [PDF]
, 2008 Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also ...
Cerone, Pietro, Dragomir, Sever S
core
Bounding the Čebyšev function for a differentiable function whose derivative is h or λ-convex in absolute value and applications [PDF]
, 2016 Some bounds for the Čebyšev functional of a differentiable function whose derivative is h or λ-convex in absolute value and applications for functions of selfadjoint operators in Hilbert spaces via the spectral representation theorem are ...
Dragomir, Sever S
core +1 more source
Evaluating the connectivity, continuity and distance norm in mathematical models for community ecology, epidemiology and multicellular pathway prediction [PDF]
, 2019 The main global threats of the biosphere on our planet, such as a global biodiversity impairment, global health issues in the developing countries, associated with an environmental decay, unnoticed in previous eras, the rise of greenhouse gasses and ...
Allaerts, W. (Wilfried)
core +1 more source
Generalization of majorization theorem via Abel-Gontscharoff polynomial [PDF]
, 2015 In this paper we use Abel-Gontscharoff formula and Green function to give some identities for the difference of majorization inequality and present the generalization of majorization theorem for the class of n-convex.
Josip Pečarić +2 more
core +1 more source
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps [PDF]
, 2019 In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps.
Dragomir, Sever S
core +1 more source
Weighted Popoviciu type inequalities via generalized Montgomery identities [PDF]
, 2015 We obtained useful identities via generalized Montgomery identities, by which the inequality of Popoviciu for convex functions is generalized for higher order convex functions. We investigate the bounds for the identities related to the generalization of
Josip Pečarić, Saad Ihsan Butt
core +1 more source
The Truncated Matricial Stieltjes Moment Problem and Corresponding Matrix Balls [PDF]
, 2022 Die Fragestellung der Arbeit geht aus einem matriziellen Potenzmomentenproblem des folgenden Typs hervor: Für eine vorgegebene endliche Folge s0,...sm von q × q-Matrizen sind alle nicht-negativen Hermiteschen q × q-Maße σ auf Ω zu bestimmen, deren j-tes ...
Wall, Michaela
core +1 more source
Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]
, 2016 Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex functions of interest and reverses of Hölder and Schwarz trace inequalities are also ...
Dragomir, Sever S.
core +1 more source