Results 11 to 20 of about 161,269 (289)
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
Adeel Muhammad +3 more
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
AIMS Mathematics, 2020 In this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established.
Mehmet Kunt +3 more
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New generalization of discrete Montgomery identity with applications [PDF]
, 2016 In this paper, a discrete version of the well-known Montgomery's identity is generalized, and a refinement of an inequality derived by B.G. Pachpatte in 2007 is presented.
Díaz Barrero, José Luis +1 more
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Bivariate Montgomery identity for alpha diamond integrals [PDF]
Advances in Difference Equations, 2019 In the paper, some variants of Montgomery identity with the help of delta and nabla integrals are established which are useful to produce Montgomery identity involving alpha diamond integrals for function of two variables.
Masud Ahmad +4 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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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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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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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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AIMS MathematicsIn this article, the Montgomery identity and Ostrowski inequality are established for univariate first-order diamond-alpha differentiable functions.
Marwa M. Tharwat +6 more
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