Integral inequalities for map**s whose derivatives are (h, m, s)-convex modied of second type via Katugampola integrals

B Bayraktar, JE Nápoles-Valdés - Annals of the University of Craiova …, 2022 - inf.ucv.ro
In this paper, using the definition of functions (h, m, s)-convex modified of second type,
various extensions of the classic Hermite-Hadamard Inequality are obtained using …

New integral inequalities of Hermite–Hadamard type in a generalized context

JEN Valdés, B Bayraktar, SI Butt - Punjab University Journal of …, 2021 - journals.pu.edu.pk
In this paper, we obtained new integral inequalities of theHermite–Hadamard type for
convex and quasi–convex functions in a generalizedcontext. AMS (MOS) Subject …

New Hadamard-type inequalities via -convex functions

B Bayraktar, SI Butt, S Shaokat… - Вестник Удмуртского …, 2021 - mathnet.ru
The article introduces a new concept of convexity of a function:(s, m1, m2)-convex functions.
This class of functions combines a number of convexity types found in the literature. Some …

New Variant of Hermite–Hadamard, Fejér and Pachpatte-Type Inequality and Its Refinements Pertaining to Fractional Integral Operator

M Tariq, SK Ntouyas, AA Shaikh - Fractal and Fractional, 2023 - mdpi.com
In order to show novel generalizations of mathematical inequality, fractional integral
operators are frequently used. Fractional operators are used to simulate a broad range of …

[PDF][PDF] Some integral inequalities for functions whose absolute values of the third derivative is concave and r-convex

B Bayraktar - Turkish J. Ineq, 2020 - t**equality.com
BAHTIYAR BAYRAKTAR Abstract. In this paper, parameterized integral inequalities of the
Hadamard and Simpson type are obtained for concave and r− convex functions. For some …

[HTML][HTML] Several new integral inequalities via k-Riemann-Liouville fractional integrals operators

BS Ihsan, B Bahtiyar, U Muhammad - Проблемы анализа, 2021 - cyberleninka.ru
The main objective of this paper is to establish several new integral inequalities including k-
Riemann-Liouville fractional integrals for convex, s-Godunova-Levin convex functions …

Some generalized Hadamard–type inequalities via fractional integrals

B Bayraktar, AK Attaev, VC Kudaev - Russian Mathematics, 2021 - Springer
In this paper, we establish some generalized inequalities of the Hermite–Hadamard type
using fractional Riemann–Liouville integrals for the class of s-convex functions in the first …

[HTML][HTML] MILNE-TYPE INTEGRAL INEQUALITIES FOR MODIFIED (ℎ, 𝑚)-CONVEX FUNCTIONS ON FRACTAL SETS

JE Napoles, PM Guzmán, B Bayraktar - Проблемы анализа, 2024 - cyberleninka.ru
In the article, new versions of integral inequalities of Milne type are derived for (ℎ, 𝑚)-convex
modified functions of the second type on fractal sets. Based on a new generalized local …

[HTML][HTML] Generalization of Hadamard-type trapezoid inequalities for fractional integral operators

B Bahtiyar, EO Muhammet - Уфимский математический журнал, 2021 - cyberleninka.ru
The role of convexity theory in applied problems, especially in optimization problems, is well
known. The integral Hermite-Hadamard inequality has a special place in this theory since it …