Results 31 to 40 of about 640,855 (194)

Generalization of the Jensen-Mercer inequality by Taylor's polynomial [PDF]

, 2016
We present generalizations of the Jensen-Mercer inequality for the class of n -convex functions. The results are obtained by using Taylor’s polynomial and four types of Green’s functions. Mathematics subject classification (2010): 26D15, 26D20.
Anita Matković
openalex   +2 more sources

Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results [PDF]

Advances in Difference Equations, 2020
In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable ...
Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar, Ya Liu   +5 more
doaj   +2 more sources

Hermite–Jensen–Mercer type inequalities for conformable integrals and related results [PDF]

Advances in Difference Equations, 2020
In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose ...
Saad Ihsan Butt, Mehroz Nadeem, Shahid Qaisar, Ahmet Ocak Akdemir, Thabet Abdeljawad   +4 more
doaj   +2 more sources

Jensen– and Mercer–type inequalities for h–convex functions: characterizations, refinements, and applications

Journal of Inequalities and Applications
This paper presents a unified framework for extending Jensen- and Mercer-type inequalities within the h-convex function space. By leveraging the supermultiplicative and superadditive properties of the weight function h ( t ) $h(t)$ , we refine classical ...
Sajid Ali, Rabia Bibi
doaj   +2 more sources

Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis

Annals of Mathematics and Physics
In the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer type inequalities for h-convex functions defined on the co-ordinates of a ...
T. Muhammad, Zhiyue Zhang, Abdul Mateen, Hüseyin BUDAK, Artion Kashuri   +4 more
openalex   +2 more sources

Derivation of conticrete Hermite-Hadamard-Jensen-Mercer inequalities through k-Caputo fractional derivatives and majorization

Filomat
The Hermite-Hadamard inequality stands out as one of the highly valuable inequalities due to its exceptional role in research. Many mathematicians are working hard right now to create various im-provements, generalizations and extensions of this ...
Muhammad Adil Khan, Shah Faisal
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Enhancing Some Inequalities via Fractional Extended Riemann–Liouville Integrals: Jensen–Mercer Perspective [PDF]

Mathematical methods in the applied sciences
This paper aims to derive novel forms of trapezoid and midpoint inequalities within the context of fractional extended Riemann–Liouville integrals (FERLIs).
Abd‐Allah Hyder, Hüseyin Budak
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Refinements of the operator Jensen-Mercer inequality

, 2013
Mohsen Kian, Mohammad Sal Moslehian
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On a variant and extension of Gabler inequality [PDF]

, 2022
We propose a Jensen-Mercer type variant and a Niezgoda type extension of Gabler inequality along with ...
Chanan, Sadia, Khan, Asif R., Khan, Inam Ullah   +2 more
core   +2 more sources

JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS

Fractals, 2021
The most notable inequality pertaining convex functions is Jensen’s inequality which has tremendous applications in several fields. Mercer introduced an important variant of Jensen’s inequality called as Jensen–Mercer’s inequality.
S. Butt, Saba Yousaf, Hijaz Ahmad, T. Nofal   +3 more
semanticscholar   +1 more source