Results 51 to 60 of about 4,682 (150)

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

open access: yesMathematics, 2020
In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
doaj   +1 more source

Ostrowski type inequalities for harmonically s-convex functions [PDF]

open access: yes, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core  

Some new inequalities of Hermite-Hadamard's type

open access: yes, 2010
In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.
Saglam, A.   +2 more
core   +1 more source

Fractional Integral Inequalities for Generalized Interval‐Valued Functions With Applications in Stock Price Prediction via LSTM

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah   +5 more
wiley   +1 more source

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

open access: yesMoroccan 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

An Ostrowski Type Inequality for Convex Functions [PDF]

open access: yes, 2002
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH ...
Dragomir, Sever Silvestru
core   +2 more sources

On Hammerstein Integral Equations and Engineering Models via Paired Contractions in Partial Metric Spaces

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma   +5 more
wiley   +1 more source

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous   +5 more
wiley   +1 more source

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

open access: yesAdvances 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
doaj   +1 more source

On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions

open access: yesAdvances 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   +3 more
doaj   +1 more source

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