On Euler harmonic identities for measures and error estimations

DOI10.7153/jca-11-03zbMath1424.41023OpenAlexW4250689868MaRDI QIDQ4627843

A. Civljak

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-11-03

zbMATH Keywords

Borel measurescontinuous functions of bounded variationgeneralized Euler identitiesharmonic sequences of functionsL-Lipschitzian function

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Inequalities for sums, series and integrals (26D15) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by other special function classes (41A30) Functions of bounded variation, generalizations (26A45) Absolutely continuous real functions in one variable (26A46)

Cites Work

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• Generalizations of Ostrowski inequality via biparametric Euler harmonic identities for measures
• On Euler trapezoid formulae
• On generalizations of Ostrowski inequality via Euler harmonic identities
• Euler harmonic identities and moments of real Borel measures
• On generalizations of Ostrowski inequality via some Euler-type identities
• On Euler midpoint formulae
• Euler-Grüss Type Inequalities Involving Measures
• On Ostrowski and Euler-Grüss type inequalities involving measures
• On weighted Euler harmonic identities with applications

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