New time scale generalizations of the Ostrowski-Grüss type inequality for k points [PDF]
Journal of Inequalities and Applications, 2017 Two Ostrowski-Grüss type inequalities for k points with a parameter λ ∈ [ 0 , 1 ] $\lambda\in[0, 1]$ are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points.
Eze R Nwaeze +2 more
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Discrete Grüss type inequality on fractional calculus [PDF]
Journal of Inequalities and Applications, 2015 We give a discrete Grüss type inequality on fractional calculus.
E. Akın +3 more
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Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application
Mathematics, 2022 Recently, there have been many proven results of the Ostrowski–Grüss-type inequality regarding the error bounds for the Chebyshev functional when the functions or their derivatives belong to Lp spaces.
Sanja Kovač, Ana Vukelić
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Nabla discrete fractional Grüss type inequality [PDF]
Journal of Inequalities and Applications, 2014 Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Grüss type inequality for the nabla fractional case.
Feza Güvenilir +3 more
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New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity [PDF]
Journal of Inequalities and Applications, 2017 The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6:281-288, 1976), is generalized by using new identities involving new Green’s functions.
Nasir Mehmood +3 more
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On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Tasadduq Niaz +2 more
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Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]
, 2002 A discrete inequality of Grüss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings, are ...
S. Dragomir
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Trace inequalities of Shisha-Mond type for operators in Hilbert spaces [PDF]
Concrete Operators, 2017 Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
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Two New Sharp Ostrowski-Grüss Type Inequalities [PDF]
Le Matematiche, 2013 The purpose of this paper is to use a variant of the Grüss inequality to derive two new sharp Ostrowski-Grüss type inequalities related to a perturbed trapezoidal type rule and a perturbed generalized interior point rule, respectively, which provide ...
Zheng Liu
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New Bounds of Ostrowski–Gruss Type Inequality for (k + 1) Points on Time Scales
International Journal of Analysis and Applications, 2017 The aim of this paper is to present three new bounds of the Ostrowski--Gr\"uss type inequality for points $x_0,x_1,x_2,\cdots,x_k$ on time scales. Our results generalize result of Ng\^o and Liu, and extend results of Ujevi\'c to time scales with $(k+1 ...
Eze R. Nwaeze, Seth Kermausuor
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