Results 81 to 90 of about 4,380 (178)

On the refinements of some important inequalities with a finite set of positive numbers

Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9589-9599, August 2024.
In this research, a novel method for enhancing the Hölder–Işcan inequality through the utilization of both integrals and sums, as well as the mean power inequality, has been introduced. This approach outperforms traditional Hölder and mean power integral inequalities by employing a finite set of functions.
Bouharket Benaissa, Mehmet Zeki Sarikaya
wiley   +1 more source

On the Generalized Ostrowski Type Integral Inequality for Double Integrals

International Journal of Analysis and Applications, 2017
In this paper, we establish a new generalized Ostrowski type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.
Mustafa Kemal Yildiz, Mehmet Zeki Sarikaya   +1 more
doaj   +2 more sources

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

Arab 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 WEIGHTED OSTROWSKI AND OSTROWSKI-GRÜSS TYPE INEQUALITIES ON TIME SCALES

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.
Liu, Wenjun, Tuna, Adnan, Jiang, Yong
openaire   +3 more sources

Representation of multivariate functions via the potential theory [PDF]

, 2003
In this paper, by the use of Potential Theory, some representation results for multivariate functions from the Sobolev spaces in terms of the double layer potential and the fundamental solution of Laplace's equation are pointed out.
Cirstea, Florica-Corina, Dragomir, Sever Silvestru   +1 more
core   +1 more source

Ostrowski type inequalities for convex functions

Tamkang Journal of Mathematics, 2014
In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin, Kavurmacı Önalan, Havva, AVCI ARDIÇ, MERVE   +2 more
openaire   +3 more sources

An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem

, 2003
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
core   +1 more source

Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem

, 2003
Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are ...
Dragomir, Sever Silvestru
core   +1 more source

Revisiting Ostrowski's Inequality

The main objective of this paper is to present Ostrowski's inequality for a broader class of functions and to propose a refinement to the classical version of it. The original Ostrowski's inequality can be stated as follows "If $f:[a,b]\to\mathbb{R}$ is differentiable and $f'\in L^{\infty}[a, b]$, then for any $p\in\,]a,b[\,$, the following functional
openaire   +2 more sources

Quantum invariants of hyperbolic knots and extreme values of trigonometric products. [PDF]

Math Z, 2022
Aistleitner C, Borda B.
europepmc   +1 more source