Results 31 to 40 of about 291,483 (125)

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

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 integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions

open access: yesAlexandria Engineering Journal, 2022
In this article the authors introduce the concept of two dimensional approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex function that generalize several known coordinate convexity classes.
Ying-Qing Song   +4 more
doaj   +1 more source

New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

open access: yesDemonstratio Mathematica, 2023
The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq   +4 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

On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals [PDF]

open access: yes, 2019
International Conference on Fractional Differentiation and its Applications, ICFDA 2018 -- 16 July 2018 through 18 July 2018 -- 234429In this chapter, we obtain the Hermite–Hadamard-type inequalities for coordinated convex function via generalized ...
Hüseyin Budak   +3 more
core   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi   +3 more
wiley   +1 more source

Fractional variational problems with the Riesz-Caputo derivative [PDF]

open access: yes, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R.   +2 more
core   +1 more source

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari   +2 more
wiley   +1 more source

Katugampola Fractional Integrals within the Class of Convex Functions

open access: yes, 2018
The aim of this paper is to the Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value is s-convex through the instrument of generalized Katugampola fractional integrals.
Hatice YALDIZ, Ahmet Ocak Akdemir
core   +1 more source

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