Fractional exponentially m-convex functions and inequalities

S Rashid, MA Noor, KI Noor - International journal of analysis and …, 2019 - etamaths.com
In this article, we introduce a new class of convex functions involving m∈[0, 1], which is
called exponentially m-convex function. Some new Hermite-Hadamard inequalities for …

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 …

On Fejér's inequality: generalizations and applications

M Rostamian Delavar - Journal of Inequalities and Applications, 2023 - Springer
This paper deals with generalizations and refinements of Fejér's inequality with some new
applications. We introduce a real map** M f ω (t) and obtain some its functional properties …

Integral inequalities for generalized preinvex functions

S Rashid, M Aslam Noor, KI Noor… - … University Journal of …, 2020 - journals.pu.edu.pk
The objective of this paper is to derive Fejer inequality forgeneralized preinvex functions.
Some new integral inequalities related toHermite-Hadamard type for the class of preinvex …

Weighted Fejér, Hermite–Hadamard, and Trapezium-Type Inequalities for (h 1, h 2)–Godunova–Levin Preinvex Function with Applications and Two Open Problems

AAH Ahmadini, W Afzal, M Abbas, ES Aly - Mathematics, 2024 - mdpi.com
This note introduces a new class of preinvexity called (h 1, h 2)-Godunova-Levin preinvex
functions that generalize earlier findings. Based on these notions, we developed Hermite …

[PDF][PDF] Some Hermite-Hadamard weighted integral inequalities for (h, m)-convex modified functions

M Vivas-Cortez, JEN Valdés… - Appl. Math. Inf …, 2022 - digitalcommons.aaru.edu.jo
Some Hermite-Hadamard Weighted Integral Inequalities for (h,m)-Convex Modified Functions
Page 1 Appl. Math. Inf. Sci. 16, No. 1, 25-33 (2022) 25 Applied Mathematics & Information …

Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals

B Bayraktar, JE Nápoles, F Rabossi - Ukrainian Mathematical Journal, 2023 - Springer
By using the definition of modified (h, m, s)-convex functions of the second type, we present
various refinements of the classical Hermite–Hadamard inequality obtained within the …

Trapezoidal type inequalities related to h-convex functions with applications

M Rostamian Delavar, SS Dragomir - Revista de la Real Academia de …, 2019 - Springer
A map** M_g (t) M g (t) is considered to obtain some preliminary results and a new
trapezoidal form of Fejér inequality related to the h-convex functions. Furthermore the …

Weighted trapezoidal inequalities related to the area balance of a function with applications

MR Delavar, SS Dragomir - Applied Mathematics and Computation, 2019 - Elsevier
Some basic results in connection with the area balance function associated to a Lebesgue
integrable function are obtained and then two new Fejér trapezoidal type inequalities are …

Hermite-Hadamard type inequalities via weighted integral operators

P Kórus, JEN Valdés, MNQ Cubillos - Proyecciones (Antofagasta), 2023 - SciELO Chile
In this paper, we consider general convex functions of various type. We establish some new
integral inequalities of Hermite-Hadamard type for (h, s, m)-convex and (h, m)-convex …