Results 11 to 20 of about 32,361 (215)

Ostrowski-Type Fractional Integral Inequalities: A Survey

open access: yesFoundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq   +2 more
doaj   +1 more source

New fractional approaches for n-polynomial P-convexity with applications in special function theory

open access: yesAdvances in Difference Equations, 2020
Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues ...
Shu-Bo Chen   +4 more
doaj   +1 more source

Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications

open access: yesAdvances in Difference Equations, 2020
In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt   +5 more
doaj   +1 more source

Novel Refinements via n–Polynomial Harmonically s–Type Convex Functions and Application in Special Functions

open access: yesJournal of Function Spaces, 2021
In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt   +3 more
doaj   +1 more source

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators

open access: yesMathematics, 2023
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq   +2 more
doaj   +1 more source

Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions

open access: yesMathematics, 2022
In this paper, the authors established several new inequalities of the Beesack–Wirtinger type for different kinds of differentiable convex functions. Furthermore, we generalized our results for functions that are n-times differentiable convex.
Artion Kashuri   +3 more
doaj   +1 more source

New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions

open access: yesJournal of Inequalities and Applications, 2020
In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex ...
Muhammad Uzair Awan   +4 more
doaj   +1 more source

Ostrowski-type inequalities for n-polynomial P $\mathscr{P}$ -convex function for k-fractional Hilfer–Katugampola derivative

open access: yesJournal of Inequalities and Applications, 2021
In this article, we develop a novel framework to study a new class of convex functions known as n-polynomial P $\mathscr{P} $ -convex functions. The purpose of this article is to establish a new generalization of Ostrowski-type integral inequalities by ...
Samaira Naz   +2 more
doaj   +1 more source

Popoviciu’s type inequalities for h-MN-convex functions [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2021
n this work, Popoviciu type inequalities for h-MN-convex functions are proved. Some direct examples are pointed out.
Mohammad W. Alomari
doaj   +1 more source

On n-polynomial p-convex functions and some related inequalities

open access: yesAdvances in Difference Equations, 2020
In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization.
Choonkil Park   +4 more
doaj   +1 more source

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