Extension of Montgomery identity via Taylor polynomial on time scales

DOI10.3906/mat-1906-11zbMath1506.26016OpenAlexW3088686006MaRDI QIDQ5099752

Sumaiya Malik, Khalid Mahmood Awan, Khuram Ali Khan, Ammara Nosheen

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1906-11

zbMATH Keywords

mathematical inequalitiestime scales calculus

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Related Items (1)

Generalization of Montgomery identity via Taylor formula on time scales

Cites Work

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• New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
• Refinement of Jensen's inequality and estimation of \(f\)- and Rényi divergence via Montgomery identity
• Generalizations of Steffensen's inequality via the extension of Montgomery identity
• Levinson-type inequalities via new Green functions and Montgomery identity
• Generalized Steffensen's inequality by Montgomery identity
• Bivariate Montgomery identity for alpha diamond integrals
• Popoviciu type inequalities via Green function and generalized Montgomery identity
• Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients
• Generalization of Jensen's and Jensen-Steffensen's inequalities by generalized majorization theorem
• NEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATOR
• NEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION
• On Jensen’s type inequalities via generalized majorization inequalities
• Cauchy functions for dynamic equations on a measure chain

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