Results 81 to 90 of about 3,469 (183)
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
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 +3 more
core
On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions
Journal of New Theory, 2021 In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al.
Assia Azaizia, Badreddine Meftah
doaj
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.
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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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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
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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
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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R. +2 more
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Communications in Advanced Mathematical Sciences, 2019 In this paper we establish some Ostrowski and trapezoid type inequalities for the $k$-$g$-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well.
Sever Dragomir
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Multivariate fractional Ostrowski type inequalities
Computers & Mathematics with Applications, 2007 AbstractOptimal upper bounds are given for the deviation of a value of a multivariate function of a fractional space from its average, over convex and compact subsets of RN,N≥2. In particular we work over rectangles, balls and spherical shells. These bounds involve the supremum and L∞ norms of related multivariate fractional derivatives of the function
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