New fractal–fractional parametric inequalities with applications

SI Butt, A Khan - Chaos, Solitons & Fractals, 2023 - Elsevier
In the present paper, we first establish a general parameterized identity for local fractional
twice differentiable functions involving extended fractal–fractional integral operators. Thus …

[PDF][PDF] Integral inequalities within the framework of generalized fractional integrals

PM GUZM, JEN VALD, YS Gasimov - 2021 - files.ele-math.com
In this work, a new generalized fractional integral is defined and studied, and different
relationships (equalities and inequalities) are obtained, which have as particular cases …

New class of preinvex fuzzy mappings and related inequalities

MB Khan, G Santos-García, MA Noor, MS Soliman - Mathematics, 2022 - mdpi.com
This study aims to consider new kinds of generalized convex fuzzy mappings (convex-𝘍𝘔),
which are called strongly α-preinvex fuzzy mappings. We investigated the characterization of …

Integral inequalities for mappings 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 …

[PDF][PDF] On the generalized inequalities of the Hermite-Hadamard type

VJE Nápoles, B Bayraktar - Filomat, 2021 - doiserbia.nb.rs
In this paper, we establish new Hermite-Hadamard inequalities for h-convex functions, with
in the framework of a previously defined generalized integral. The results obtained …

Analysis of -superquadratic function and related fractional integral inequalities with applications

D Khan, SI Butt, Y Seol - Journal of Inequalities and Applications, 2024 - Springer
In the present work we establish for the first time a class of (P, m)-superquadratic functions
and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard …

Integral inequalities of ‐superquadratic functions and their fractional perspective with applications

SI Butt, D Khan - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
The purpose of this article is to provide a number of Hermite–Hadamard and Fejér type
integral inequalities for a class of hh‐superquadratic functions. We then develop the …

[HTML][HTML] On generalizations of integral inequalities

B Bayraktar, F Rabossi - Проблемы анализа, 2022 - cyberleninka.ru
In the present study, several new generalized integral inequalities of the Hadamard and
Simpson-type are obtained. The results were obtained for functions whose first and third …

[HTML][HTML] NEW GENERALIZED INTEGRAL INEQUALITIES VIA -CONVEX MODIFIED FUNCTIONS

B Bahtiyar, NVJ Eduardo - Известия Института математики и …, 2022 - cyberleninka.ru
NEW GENERALIZED INTEGRAL INEQUALITIES VIA $(h,m)$-CONVEX MODIFIED
FUNCTIONS – тема научной статьи по математике читайте бесплатно текст научно-исследовательской …

[PDF][PDF] On the Hermite-Hadamard type inequalities involving generalized integrals

JEN Valdés - Contrib. Math, 2022 - shahindp.com
On the Hermite-Hadamard type inequalities involving generalized integrals 1. Introduction Page
1 Contributions to Mathematics www.shahindp.com/locate/cm Contrib. Math. 5 (2022) 45–51 DOI …