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
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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
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A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality
Axioms, 2023 For all convex functions, the Hermite–Hadamard inequality is already well known in convex analysis. In this regard, Hermite–Hadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work.
Çetin Yildiz +2 more
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Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities
, 2012 In this paper, the connection between the functional inequalities $$ f\Big(\frac{x+y}{2}\Big)\leq\frac{f(x)+f(y)}{2}+\alpha_J(x-y) \qquad (x,y\in D)$$ and $$ \int_0^1f\big(tx+(1-t)y\big)\rho(t)dt \leq\lambda f(x)+(1-\lambda)f(y) +\alpha_H(x-y) \qquad (x ...
Makó, Judit, Páles, Zsolt
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Improvements of the Hermite-Hadamard inequality on time scales [PDF]
Journal of Mathematical Inequalities, 2015 In this paper we give refinements of converse Jensen’s inequality as well as of the Hermite-Hadamard inequality on time scales. We give mean value theorems and investigate logarithmic and exponential convexity of the linear functionals related to the obtained refinements.
Josip Pečarić +2 more
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Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
wiley +1 more source
Hermite-Hadamard type inequalities for Wright-convex functions of several variables
, 2014 We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on ...
Wasowicz, Sz., Śliwińska, D.
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The Hermite–Hadamard inequality in Beckenbach's setting
Journal of Mathematical Analysis and Applications, 2010 AbstractThe classical Hermite–Hadamard inequality gives a lower and an upper estimations for the integral average of convex functions defined on compact intervals, involving the midpoint and the endpoints of the domain. The aim of the present paper is to extend this inequality and to give analogous results when the convexity notion is induced by ...
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Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo +2 more
wiley +1 more source
Approximate Hermite-Hadamard inequality [PDF]
, 2014 The main results of this paper offer sufficient conditions in order that an approximate lower Hermite-Hadamard type inequality imply an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
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