Weighted Montgomery identity and weighted Hadamard inequalities [PDF]
Journal of Mathematical InequalitiesSummary: In this paper the extension of the weighted Montgomery identity is established by using the integral formula of Pecarić, Matić and Ujević. Further, by using this extended weighted Montgomery identity for functions whose derivatives of order \(n -1\) are absolutely continunous functions, new inequalities of the weighted Hermite-Hadamard type ...
Sanja Kovač +2 more
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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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Refined Hardy-Type Inequalities Involving New Green Functions and Montgomery Identity
Discrete Dynamics in Nature and SocietySome Hardy-type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales.
Ammara Nosheen +3 more
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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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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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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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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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Correction: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
AIMS Mathematics, 2020 5 ...
Andrea Aglić Aljinović +3 more
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Some New q—Integral Inequalities Using Generalized Quantum Montgomery Identity via Preinvex Functions [PDF]
Symmetry, 2020 MIGUEL Vivas-Cortez +2 more
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