Results 11 to 20 of about 48 (46)
Advances in Difference Equations, 2020 In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique +3 more
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Journal of Inequalities and Applications, 2020 In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
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Journal of Inequalities and Applications, 2020 This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017).
Nouman Siddique +3 more
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Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial
Journal of Inequalities and Applications, 2016 In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone’s ...
Ravi P Agarwal +2 more
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Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Open Mathematics, 2017 This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić +1 more
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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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Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 In this article, we establish several integral majorization type and generalized Favard’s inequalities for the class of strongly convex functions. Our results generalize and improve the previous known results.
Syed Zaheer Ullah +4 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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On New Generalized Ostrowski Type Integral Inequalities
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski′s inequality. The current paper obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval in ...
A. Qayyum +4 more
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Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 Several new error bounds for the Čebyšev functional under various assumptions are proved. Applications for functions of self‐adjoint operators on complex Hilbert spaces are provided as well.
Mohammad W. Alomari +1 more
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