Results 21 to 30 of about 4,997 (220)

New discrete inequalities of Hermite–Hadamard type for convex functions

open access: yesAdvances in Difference Equations, 2021
We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions.
Pshtiwan Othman Mohammed   +3 more
doaj   +1 more source

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

Some fractional integral inequalities via h-Godunova-Levin preinvex function

open access: yesAIMS Mathematics, 2022
In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different ...
Sabila Ali   +5 more
doaj   +1 more source

On the refinements of the Hermite-Hadamard inequality [PDF]

open access: yesJournal of Inequalities and Applications, 2012
في هذه الورقة، نقدم بعض التحسينات على متباينة هيرميت- هادامارد الكلاسيكية المتكاملة للوظائف المحدبة. علاوة على ذلك، نعطي مفهوم التحدب الأسي n والتحدب اللوغاريتمي للوظائف المرتبطة بالوظائف الخطية التي تحددها هذه المتباينات ونثبت خاصية رتابة وسائل كوشي المعممة التي تم الحصول عليها عبر هذه الوظائف.
Sadia Khalid   +2 more
openaire   +2 more sources

Extensions of the Hermite-Hadamard inequality with applications [PDF]

open access: yesMathematical Inequalities & Applications, 2012
The main aim of this paper is to give improvements of various forms of the Hermite-Hadamard inequality, namely, that of Fejèr, Lupaş, Brenner-Alzer, Beesack-Pečarić. It is interesting that these improvements also imply the Hammer-Bullen inequality which deals with a comparison of the left-hand and the right-hand side of the Hermite-Hadamard inequality.
Josip Pečarić   +2 more
openaire   +3 more sources

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 generalization of Hermite-Hadamard’s inequality [PDF]

open access: yesKragujevac Journal of Mathematics, 2017
In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a Hermite-Hadamard like inequality that combines the composite trapezoid and composite midpoint formulae is proved.
openaire   +2 more sources

New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function

open access: yesAIMS Mathematics, 2021
In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral.
Yanping Yang   +3 more
doaj   +1 more source

Hermite–Hadamard–Fejer type inequalities [PDF]

open access: yesJournal of Interdisciplinary Mathematics, 2018
In this paper, we have established the left hand side of the Hermite–Hadamard–Fejer type inequalities for the class of functions whose derivatives in absolute value at certain powers are convex fun...
Yaldız, Hatice, Sarıkaya, Mehmet Zeki
openaire   +4 more sources

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