Results 41 to 50 of about 786 (135)

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +1 more source

Fractional Integral Inequalities via Caputo k‐Derivatives for Generalized Strongly Modified h‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is devoted to the investigation of new fractional integral (FI) inequalities involving Caputo k‐fractional derivatives (CKFDs) for functions whose higher order derivatives satisfy the generalized strongly modified h‐convexity (GSMHC) condition. By combining the analytical properties of generalized convexity with the framework of k‐fractional
Mohammed Said Souid, Halim Benali, Sabri T. M. Thabet, Taoufik Moulahi, Al-Taweel Ahmed   +4 more
wiley   +1 more source

Weighted Trapezoid and Midpoint Inequalities and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is aimed at extending classical midpoint and trapezoid inequalities by incorporating a weight function, which serves as a versatile tool to bridge these inequalities with their fractional integral analogues. By appropriate choice of weight functions, we establish generalized fractional versions of the inequalities for various types of ...
Hüseyin Budak, Abdelghani Lakhdari, Mehmet Zeki Sarikaya, Claudia Capone   +3 more
wiley   +1 more source

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol, Pengyu Chen   +3 more
wiley   +1 more source

Iq-Calculus and Iq-Hermite–Hadamard inequalities for interval-valued functions

Advances in Difference Equations, 2020
In this paper, we introduce the Iq-derivative and Iq-integral for interval-valued functions and give their basic properties. As a promotion of q-Hermite–Hadamard inequalities, we also give the Iq-Hermite-Hadamard inequalities for interval-valued ...
Tianyi Lou, Guoju Ye, Dafang Zhao, Wei Liu   +3 more
doaj   +1 more source

Harmonic Inequalities Associated With Left‐ and Right‐Sided Fractional Integral Operators Pertaining Exponential Kernels With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We derive the left‐ and right‐sided fractional Hermite–Hadamard (H–H)‐type inequalities for harmonic convex mappings from the left‐ and right‐sided fractional integral operators possessing exponential kernels. In addition, we introduce two variants of fractional equalities that are further deployed with the idea differentiable harmonic convex mappings ...
Hira Inam, Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol, Yongqiang Fu   +4 more
wiley   +1 more source

On some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via generalized fractional integrals

Advances in Difference Equations, 2020
In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
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On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions

Advances in Difference Equations, 2020
In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane.
Dafang Zhao, Muhammad Aamir Ali, Ghulam Murtaza, Zhiyue Zhang   +3 more
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Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan, Ramy M. Hafez, Kashif Ali, Ndolane Sene, Çetin Yildiz   +4 more
wiley   +1 more source

Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions

Journal of Inequalities and Applications, 2020
In this paper, we establish some new Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many useful estimates on these types of new Hermite–Hadamard-type
Yong Zhao, Haiwei Sang, Weicheng Xiong, Zhongwei Cui   +3 more
doaj   +1 more source