Results 51 to 60 of about 229 (167)

Fuzzy Ostrowski type inequalities [PDF]

Computational & Applied Mathematics, 2003
We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] I R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
openaire   +3 more sources

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

Journal 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, Bibhakar Kodamasingh, Artion Kashuri, Hassen Aydi, Eskandar Ameer   +4 more
doaj   +1 more source

Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting

Mathematics, 2022
Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type inequalities and present their corresponding proofs.
Mohammad W. Alomari, Christophe Chesneau, Víctor Leiva, Carlos Martin-Barreiro   +3 more
doaj   +1 more source

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source

An Ostrowski type inequality for double integrals in terms of \(L_p\)-norms and applications in numerical integration

Journal of Numerical Analysis and Approximation Theory, 2003
An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.
S.S. Dragomir, N.S. Barnett, P. Cerone
doaj   +2 more sources

A study of new quantum Montgomery identities and general Ostrowski like inequalities

Ain Shams Engineering Journal
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan, Muhammad Zakria Javed, Huseyin Budak, Y.S. Hamed, Jong-Suk Ro   +4 more
doaj   +1 more source

Numerical Simulations of Newton‐Type Inequalities for Differentiable Modified p‐Convex Functions Involving Riemann–Liouville Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, Riemann–Liouville fractional integrals are employed to prove several new Newton‐type inequalities related to the modified class of p‐convex property of differentiable functions. Some more inequalities are also derived for functions of bounded variation.
Fadhel Almalki, Saima Riaz, Khuram Ali Khan, Ammara Nosheen, Michael Kikomba Kahungu, Shekhar Singh Negi   +5 more
wiley   +1 more source

Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions

Cumhuriyet Science Journal, 2019
First of all, a novel inequality of Hadamard's type for functions higherorder derivatives of which are convex is developed. It is also presentedmidpoint type results.
Samet Erden
doaj   +1 more source

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol, Pengyu Chen   +3 more
wiley   +1 more source

Generalized Riemann-Liouville $k$ -Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities

IEEE Access, 2018
Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis.
Young Chel Kwun, Ghulam Farid, Waqas Nazeer, Saleem Ullah, Shin Min Kang   +4 more
doaj   +1 more source