Levinson-type inequalities via new Green functions and Montgomery identity [PDF]
Open Mathematics, 2020 In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Muhammad Adeel +2 more
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On Ostrowski Type Inequalities via the Extended Version of Montgomery’s Identity
Mathematics, 2022 In this paper, we obtain new Ostrowski type inequalities by using the extended version of Montgomery identity and Green’s functions. We also give estimations of the difference between two integral means.
Asif R Khan, Hira Nabi, Josip Pecaric
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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
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Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
Axioms, 2023 In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulic Himmelreich +2 more
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Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy [PDF]
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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Communications in Advanced Mathematical Sciences, 2019 We give a general complex multivariate Montgomery type identity which is a representation formula for a complex multivariate function. Using it we produce general tight complex multivariate high order Ostrowski and Grüss type inequalities.
George Anastassıou
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Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables [PDF]
Advances in Difference Equations, 2021 In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals.
Muhammad Aamir Ali +5 more
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Jensen-Type Inequalities, Montgomery Identity and Higher-Order Convexity [PDF]
Mediterranean Journal of Mathematics, 2022 Motivated by some recent results known from the literature, in this paper we establish a class of Jensen-type inequalities referring to functions of an even degree of convexity. The main idea of proving our results is a transformation of the classical Jensen functional via the Montgomery identity which is suitable to study in companion with the higher ...
Mario Krnic +2 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 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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