Results 61 to 70 of about 222 (166)
A Hilbert‐space variant of Geršgorin's circle theorem
Mathematische Nachrichten, Volume 297, Issue 8, Page 3095-3106, August 2024.Abstract We provide a variant of Geršgorin's circle theorem, where the ℓ1$\ell ^1$‐estimates are swapped for ℓ2$\ell ^2$‐estimates, more suitable for the infinite‐dimensional Hilbert space setting.
Marcus Carlsson, Olof Rubin
wiley +1 more source
Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
doaj +1 more source
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
Perturbations of an Ostrowski type inequality and applications
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 +1 more source
High order Ostrowski type inequalities
Applied Mathematics Letters, 2007 By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
openaire +1 more source
A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
International Journal of Analysis and Applications, 2018 The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
doaj +2 more sources
RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory
Journal of Inequalities and Applications, 2019 In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
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
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Generalization and improvement of Ostrowski type inequalities
AIP 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.
Sarıkaya, Mehmet Zeki +1 more
openaire +2 more sources
Journal of Inequalities and Applications, 2008 We first derive a perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded and then unify corresponding continuous and discrete versions.
Wenbing Chen +2 more
doaj +1 more source