Uniform Treatment of Jensen’s Inequality by Montgomery Identity [PDF]
Journal of Mathematics, 2021 We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n−convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights.
Tahir Rasheed +4 more
doaj +6 more sources
The extension of Montgomery identity via Fink identity with applications [PDF]
Journal of Inequalities and Applications, 2005 The new extension of the weighted Montgomery identity is given by using Fink identity and is used to obtain some Ostrowski-type inequalities and estimations of the difference of two integral means.
PečArić J +2 more
doaj +8 more sources
Generalized Jensen’s functional on time scales via extended Montgomery identity [PDF]
Journal of Inequalities and Applications, 2021 In the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex functions with the help of an extended Montgomery identity.
Sofia Ramzan +3 more
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Generalized Steffensen’s inequality by Montgomery identity [PDF]
Journal of Inequalities and Applications, 2019 By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality.
Saad Ihsan Butt +3 more
doaj +5 more sources
Montgomery identity and Ostrowski-type inequalities via quantum calculus [PDF]
Open Mathematics, 2021 In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin +4 more
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Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity [PDF]
Journal of Inequalities and Applications, 2018 Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl.
Khuram Ali Khan +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
doaj +4 more sources
Generalization of Montgomery identity via Taylor formula on time scales [PDF]
Journal of Inequalities and Applications, 2022 In the current paper, a generalized Montgomery identity is obtained with the help of Taylor’s formula on time scales. The obtained identity is used to establish Ostrowski inequality, mid-point inequality, and trapezoid inequality.
Sumaiya Malik +3 more
doaj +3 more sources
Correction: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
AIMS Mathematics, 2021 We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.
Andrea Aglić Aljinović +3 more
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Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral [PDF]
Journal of Mathematics, 2014 We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function f with respect to another function g.
Andrea Aglić Aljinović
doaj +6 more sources