Results 1 to 10 of about 290 (172)

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’s inequality on time scales

Applied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheh-Chih Yeh
exaly   +2 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

An integral analogue of the Ostrowski inequality

Journal of Inequalities and Applications, 1998
We give an integral analogue of the Ostrowski inequality and several extensions, allowing in particular for multiple linear constraints.
Pečarić J, Varošanec S, Pearce CEM   +2 more
doaj   +3 more sources

Perturbations of an Ostrowski type inequality and applications [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds.
Nenad Ujević
doaj   +4 more sources

Abstract Supplement Abstracts from IAS 2025, the 13th IAS Conference on HIV Science, 13 - 17 July, Kigali, Rwanda & Virtual. [PDF]

J Int AIDS Soc
Journal of the International AIDS Society, Volume 28, Issue S4, July 2025.
europepmc   +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

A Note on Ostrowski's Inequality [PDF]

Mathematical Inequalities & Applications, 2001
The authors introduce a generalised version of Ostrowski's inequality in the perspective of an inner product space and further show that it is actually a statement about projections.
Šikić, Hrvoje, Šikić, Tomislav
openaire   +2 more sources

Generalization of Montgomery identity via Taylor formula on time scales

Journal of Inequalities and Applications, 2022
In the current paper, a generalized Montgomery identity is obtained with the help of Taylor’s formula on time scales. The obtained identity is used to establish Ostrowski inequality, mid-point inequality, and trapezoid inequality.
Sumaiya Malik, Khuram Ali Khan, Ammara Nosheen, Khalid Mahmood Awan   +3 more
doaj   +1 more source

Generalization of Ostrowski and Ostrowski–Grüss type inequalities on time scales [PDF]

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuna, Adnan, Daghan, Durmus
openaire   +4 more sources