Results 21 to 30 of about 161,269 (289)
Quantum Montgomery identity and some quantum integral inequalities [PDF]
, 2019 We discover a new version of the celebrated Montgomery identity via quantum integral operators and establish certain quantum integral inequalities of Ostrowski type by using this identity. Relevant connections of the results obtained in this work with those deduced in earlier published papers are also considered.
Mehmet Kunt, Artion Kashuri, Tingsong Du
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Generalized Steffensen's inequality by Montgomery identities and Green functions [PDF]
Mathematical Inequalities & Applications, 2019 Summary: A new generalization of Steffensen's inequality and other inequalities related to Steffnesen's inequality have been proved. The contribution of these new generalizations has been presented to theory of \((n+1)\)-convex functions and exponentially convex functions.
Asfand Fahad, Josip Pečarić
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AIMS Mathematics, 2022 In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals.
Atiqe Ur Rahman +5 more
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On Weighted Montgomery Identity for k Points and Its Associates on Time Scales [PDF]
Abstract and Applied Analysis, 2017 The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality.
Eze R. Nwaeze, Ana M. Tameru
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( p , q ) $(\mathrm{p},\mathrm{q})$ -Analysis of Montgomery identity and estimates of ( p , q ) $(\mathrm{p},\mathrm{q})$ -bounds with applications [PDF]
Journal of Inequalities and Applications, 2021 The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained.
Yu-Ming Chu +4 more
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Generalized inequalities for functions of L_p spaces via Montgomery identity with parameters [PDF]
Journal of Mathematical Inequalities, 2022 The Montgomery identity is one of the classical results that creates many important inequalities such as the Ostrowski inequality, the Grüss inequality and the Ostrowski-Grüss inequalities. Its bivariate form has led to some new generalizations and advancements in different inequalities.
Nazia Irshad +2 more
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On fractional inequalities via Montgomery identities integrals [PDF]
, 2012 In the present work we give several new integral inequalities of the type Riemann-Liouville fractional integral via Montgomery identities integrals.
Mehmet Zeki Sarıkaya +2 more
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Generalizations of Steffensen's inequality via weighted Montgomery identity [PDF]
Mathematical Inequalities & Applications, 2014 Some new generalizations of Steffensen's inequality are obtained by means of weighted Montgomery identity and estimations between difference of two weighted integral means. Further, functionals associated to these new generalizations are observed and used to generate n-exponentially and exponentially convex functions as well as to obtain new Stolarsky ...
Andrea Aglić Aljinović +2 more
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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity [PDF]
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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Popoviciu type inequalities via Green function and generalized Montgomery identity [PDF]
Mathematical Inequalities & Applications, 2015 We obtained useful identities via generalized Montgomery identity, by which the inequality of Popoviciu for convex functions is generalized for higher order convex functions. We investigate the bounds for the identities related to the generalization of the Popoviciu inequality using inequalities for the Čebyšev functional.
Saad Ihsan Butt +2 more
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