Results 11 to 20 of about 3,465 (150)

Some Properties and Inequalities for the h,s-Nonconvex Functions

open access: yesJournal of Mathematics, 2020
The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang   +3 more
doaj   +1 more source

A new generalization of some quantum integral inequalities for quantum differentiable convex functions

open access: yesAdvances in Difference Equations, 2021
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li   +4 more
doaj   +1 more source

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

open access: yesDemonstratio Mathematica, 2023
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj   +1 more source

A refinement of the left-hand side of Hermite-Hadamard inequality for simplices [PDF]

open access: yes, 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 ...
Nowicka, Monika, Witkowski, Alfred
core   +2 more sources

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

open access: yesMathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad   +3 more
doaj   +1 more source

Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

open access: yesJournal of Mathematics, 2018
This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar   +2 more
doaj   +1 more source

Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

open access: yesJournal of Function Spaces, 2019
In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid   +3 more
doaj   +1 more source

A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality

open access: yesПроблемы анализа, 2019
A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian   +2 more
doaj   +1 more source

On some inequality of Hermite-Hadamard type [PDF]

open access: yes, 2011
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Wasowicz, Szymon, Witkowski, Alfred
core   +2 more sources

Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions

open access: yesMathematics, 2022
The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities for the class of functions whose product
Muhammad Bilal Khan   +3 more
doaj   +1 more source

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