Results 21 to 30 of about 3,469 (183)

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

Journal 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, Muhammad Idrees, Dumitru Baleanu, Yu-Ming Chu   +3 more
doaj   +1 more source

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

Sakarya 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

ON NEW OSTROWSKI TYPE INEQUALITIES

Demonstratio Mathematica, 2008
AbstractIn this short note, some new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong ...
Liu, Wenjun, Dong, Jianwei
openaire   +1 more source

Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities on time scales via a parameter function [PDF]

, 2017
We prove generalized weighted Ostrowski and Ostrowski–Gr ¨uss type inequalities on time scales via a parameter function. In particular, our result extends a result of Dragomir and Barnett.
Kermausuor, Seth, Nwaeze, Eze R., Torres, Delfim F. M.   +2 more
core   +2 more sources

Special Issue: Abstract Supplement HIV Glasgow 10-13 November 2024, Glasgow, UK/Virtual. [PDF]

J Int AIDS Soc
Journal of the International AIDS Society, Volume 27, Issue S6, November 2024.
europepmc   +2 more sources

Generalizations of Steffensen's inequality via Fink's identity and related results II [PDF]

, 2015
We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given.
Pecaric, Josip, Perusic Pribanic, Anamarija, Vukelic, Ana   +2 more
core   +2 more sources

Ostrowski type inequalities on H-type groups

Journal of Mathematical Analysis and Applications, 2010
The classical Ostrowski inequality which states that for any \(f\in C^1[a,b]\) and any \(x\in [a,b]\), \[ \Big|f(x) - \frac 1{b-a} \int_a^b f(t)dt\Big| \leq \Bigg[\frac 14 + \frac{(x-\frac{a+b}2)^2}{(b-a)^2}\Bigg](b-a) \|f'\|_\infty \] is generalized to the context of \(H\)-groups, and an inequality with best possible constant is obtained.
Lian, Bao-Sheng, Yang, Qiao-Hua
openaire   +2 more sources

New estimates on generalization of some integral inequalities for s-convex functions and their applications [PDF]

, 2012
In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are s-convex (
Iscan, Imdat
core   +1 more source

Two-Point Fuzzy Ostrowski Type Inequalities

International 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

Journal 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