Improvement in companion of Ostrowski type inequalities for mappings whose first derivatives are of bounded variation and applications

DOI10.2298/FIL1716305BzbMath1499.26072MaRDI QIDQ5019632

Ather Qayyum, Hüseyin Budak, Mehmet Zeki Sarikaya

Publication date: 10 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

function of bounded variationRiemann-Stieltjes integralOstrowski-type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Inequalities involving derivatives and differential and integral operators (26D10) Functions of bounded variation, generalizations (26A45)

Related Items (8)

Refined inequalities of perturbed Ostrowski type for higher-order absolutely continuous functions and applications ⋮ Some inequalities for weighted area balance via functions of bounded variation ⋮ PERTURBED COMPANIONS OF OSTROWSKI TYPE INEQUALITIES FOR N-TIMES DIFFERENTIABLE FUNCTIONS AND APPLICATIONS ⋮ Unnamed Item ⋮ New generalized trapezoid-type inequalities for complex functions defined on the unit circle and their applications ⋮ Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions ⋮ Some companions of Ostrowski type inequalities for twice differentiable functions ⋮ Unnamed Item

Cites Work

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• On the Ostrowski's integral inequality for mappings with bounded variation and applications
• Companion of Ostrowski-type inequality based on 5-step quadratic kernel and applications
• On generalization of weighted Ostrowski type inequalities for functions of bounded variation
• The Ostrowski integral inequality for mappings of bounded variation
• A companion of Ostrowski type integral inequality using a 5-step kernel with some applications
• A new Ostrowski type inequality for functions whose first derivatives are of bounded variation

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