Results 1 to 10 of about 3,537 (149)

Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]

PLoS ONE, 2023
As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet ...
Jing Guo, Xianjun Zhu, Wenfeng Li, Hui Li   +3 more
doaj   +2 more sources

Ostrowski Type Inequalities in the Grushin Plane [PDF]

Journal of Inequalities and Applications, 2010
Motivated by the work of B.-S. Lian and Q.-H. Yang (2010) we proved an Ostrowski inequality associated with Carnot-Carathéodory distance in the Grushin plane. The procedure is based on a representation formula. Using the same representation formula,
Heng-Xing Liu, Jing-Wen Luan
core   +8 more sources

Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]

Heliyon
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman, Muhammad Samraiz, Kamal Shah, Thabet Abdeljawad, Yasser Elmasry   +4 more
doaj   +2 more sources

Ostrowski type inequalities involving conformable fractional integrals. [PDF]

J Inequal Appl, 2018
En el artículo, establecemos varias desigualdades de tipo Ostrowski que involucran las integrales fraccionarias conformables. Como aplicaciones, encontramos nuevas desigualdades para las medias aritméticas y logarítmicas generalizadas.
Adil Khan M, Begum S, Khurshid Y, Chu YM.   +3 more
europepmc   +5 more sources

An Ostrowski Type Inequality for Convex Functions [PDF]

Publikacije Elektrotehni?kog fakulteta - serija: matematika, 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   +5 more sources

New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity [PDF]

Journal of Inequalities and Applications, 2017
The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6:281-288, 1976), is generalized by using new identities involving new Green’s functions.
Nasir Mehmood, Ravi P Agarwal, Saad Ihsan Butt, Josip Pečarić   +3 more
doaj   +2 more sources

On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds

Fractal and Fractional, 2023
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations.
Gauhar Rahman, Miguel Vivas-Cortez, Çetin Yildiz, Muhammad Samraiz, Shahid Mubeen, Mansour F. Yassen   +5 more
doaj   +1 more source

Ostrowski Type Inequalities for s-Convex Functions via q-Integrals

Journal of Function Spaces, 2022
The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela   +4 more
doaj   +1 more source

Generalizations of some q-integral inequalities of Hölder, Ostrowski and Grüss type

AIMS Mathematics, 2023
This paper investigates some well-known inequalities for $ q $-$ h $-integrals. These include Hölder, Ostrowski, Grüss and Opial type inequalities.
Da Shi , Ghulam Farid, Abd Elmotaleb A. M. A. Elamin , Wajida Akram, Abdullah A. Alahmari , B. A. Younis   +5 more
doaj   +1 more source

Ostrowski type inequalities involving conformable integrals via preinvex functions

AIP Advances, 2020
In this research article, we use preinvex functions to develop Ostrowski type inequalities for conformable integrals. First, we aim for an identity linked with the Ostrowski inequality.
Yousaf Khurshid, Muhammad Adil Khan, Yu-Ming Chu   +2 more
doaj   +1 more source