Results 31 to 40 of about 7,092,593 (125)

Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.
Sercan Turhan
doaj   +1 more source

New Estimates of q1q2-Ostrowski-Type Inequalities within a Class of n-Polynomial Prevexity of Functions

open access: yesJournal of Function Spaces, 2020
In this article, we develop a novel framework to study for a new class of preinvex functions depending on arbitrary nonnegative function, which is called n-polynomial preinvex functions.
Humaira Kalsoom   +3 more
doaj   +1 more source

Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces [PDF]

open access: yes, 2007
An Ostrowski type inequality is developed for estimating the devi- ation of the integral mean of an absolutely continuous function and the linear combination of its values at k + 1 partition points on a segment in (real) linear spaces. Some particular
Dragomir, Sever S   +2 more
core   +6 more sources

Two-Point Fuzzy Ostrowski Type Inequalities

open access: yesInternational Journal of Analysis and Applications, 2013
Two-point fuzzy Ostrowski type inequalities are proved for fuzzy Hölder and fuzzy differentiable functions. The two-point fuzzy Ostrowski type inequality for M-lipshitzian mappings is also obtained.
Muhammad Amer Latif, Sabir Hussain
doaj   +2 more sources

On Ostrowski-Type Inequalities for Higher-Order Partial Derivatives

open access: yesJournal of Inequalities and Applications, 2010
We establish some new Ostrowski-type integral inequalities involving higher-order partial derivatives. As applications, we get some interrelated results. Our results provide new estimates on inequalities of this type.
Zhao Changjian, Wing-Sum Cheung
doaj   +2 more sources

Ostrowski-Type Fractional Integral Inequalities: A Survey

open access: yesFoundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq   +2 more
doaj   +1 more source

Ostrowski-type inequalities pertaining to Atangana–Baleanu fractional operators and applications containing special functions

open access: yesJournal of Inequalities and Applications, 2022
The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is established after a rigorous investigation of ...
Soubhagya Kumar Sahoo   +4 more
doaj   +1 more source

A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities

open access: yesJournal of Inequalities and Applications, 2023
This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez   +4 more
doaj   +1 more source

Fractional Integral Inequalities of Riemann–Liouville Type for Higher‐Order Differentiable Convex Mappings

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12313-12323, 30 July 2026.
ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
wiley   +1 more source

Variable‐Order Postquantum Fractional Integral Inequalities With Nonuniform Memory

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Variable memory effects are essential for accurately modeling nonlocal phenomena in applied mathematics, physics, and engineering. Motivated by this observation, we develop a new class of variable‐order postquantum fractional integral inequalities based on the Riemann–Liouville (RL)‐type (p, q)‐fractional integral operator with a q‐shifting structure ...
Ashraf Al-Quran   +4 more
wiley   +1 more source

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