Results 61 to 70 of about 3,556 (167)

A NOTE ON OSTROWSKI TYPE INEQUALITIES

Demonstratio Mathematica, 2002
Summary: In the present note we establish two new integral inequalities of the Ostrowski type involving a function of one independent variable. The discrete analogues of the main results are also given.
openaire   +2 more sources

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 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

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

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

Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami, Waseela Bibi, B. A. Younis, Ghulam Farid, Mohammed Ali, Shrideh K. Q. Al-Omari   +5 more
wiley   +1 more source

Some Inequalities for the Dispersion of a Random Variable whose PDF is Defined on a Finite Interval [PDF]

, 1999
Some inequalities for the dispersion of a random variable whose pdf is defined on a finite interval and applications are ...
Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S, Roumeliotis, John   +3 more
core  

Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots

, 2016
We show that the sequence of moduli of the eigenvalues of a matrix polynomial is log-majorized, up to universal constants, by a sequence of "tropical roots" depending only on the norms of the matrix coefficients.
Akian, Marianne, Gaubert, Stephane, Sharify, Meisam   +2 more
core   +3 more sources

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo, Wengui Yang, Mohammad W. Alomari   +2 more
wiley   +1 more source