New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals
Boundary Value ProblemsThe Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq +3 more
doaj +1 more source
Hermite-Hadamard's inequalities for conformable fractional integrals
An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2019 In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier
Mehmet Zeki Sarıkaya +4 more
openaire +4 more sources
Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami +5 more
wiley +1 more source
Refinements of Hermite-Hadamard inequality for operator convex function
, 2017 In this paper, we present several operator versions of the Hermite-Hadamard inequality for the operator convex function, which are refinements of some operator convex inequalities presented by Dragomir [S. S. Dragomir, Appl. Math.
Junmin Han, Jian-yi Shi
semanticscholar +1 more source
A refinement of the left-hand side of Hermite-Hadamard inequality for simplices [PDF]
, 2015 In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.
M. Nowicka, A. Witkowski
semanticscholar +1 more source
Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established. The results obtained here are the generalizations and refinements of the existing results for Hölder’s inequality.
Shanhe Wu, Raúl E. Curto
wiley +1 more source
Jensen–Mercer inequality for GA-convex functions and some related inequalities
Journal of Inequalities and Applications, 2020 In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj +1 more source
Fejér and Hermite-Hadamard type inequalities for differentiable h-convex and quasi convex functions with applications [PDF]
, 2022 Sofian T. Obeidat +2 more
openalex +1 more source
Applications of the Hermite-Hadamard inequality [PDF]
, 2016 We show how the recent improvement of the Hermite-Hadamard inequality can be applied to some (not necessarily convex) planar figures and three-dimensional bodies satisfying some kind of regularity.
M. Nowicka, A. Witkowski
semanticscholar +1 more source
Improvements of the Hermite-Hadamard inequality
, 2015 The article provides refinements and generalizations of the Hermite-Hadamard inequality for convex functions on the bounded closed interval of real numbers. Improvements are related to the discrete and integral part of the inequality.
Zlatko Pavić
semanticscholar +1 more source