Results 41 to 50 of about 229 (165)

On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)‐calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)‐derivatives and (p,q ...
Jen Chieh Lo, Lei Su
wiley   +1 more source

Generalization and improvement of Ostrowski type inequalities

open access: yesAIP Conference Proceedings, 2018
The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Sarikaya, Mehmet Zeki   +1 more
openaire   +3 more sources

Generalizations of some inequalities of Ostrowski-Grüss Type [PDF]

open access: yesMathematical Inequalities & Applications, 2000
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Pearce, C. E. M.   +3 more
openaire   +3 more sources

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

open access: yesArab Journal of Mathematical Sciences, 2015
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
doaj   +1 more source

New General Integral Inequalities for Polynomial Convexity in the Framework of k‐Riemann–Liouville Fractional Operators

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız   +4 more
wiley   +1 more source

New Weighted Ostrowski Type Inequalities for Mappings Whose nth Derivatives Are of Bounded Variation

open access: yesInternational Journal of Analysis and Applications, 2016
We establish a new generalization of weighted Ostrowski type inequality for mappings of bounded variation. Spacial cases of this inequality reduce some well known inequalities.
Huseyin Budak   +2 more
doaj   +2 more sources

Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed   +4 more
wiley   +1 more source

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

open access: yesJournal 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

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

open access: yesJournal 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   +4 more
doaj   +1 more source

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

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