A PARAMETER-BASED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE DERIVATIVES BELONGS TO Lp([a, b]) INVOLVING MULTIPLE POINTS

DOI10.46793/kgjmat2303.445kMaRDI QIDQ6166521

Seth Kermausuor

Publication date: 2 August 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/77/9_eng.html

zbMATH Keywords

parameterHölder's inequalityOstrowski's inequalityMontgomery identitySimpson's inequalitymidpoint inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Ostrowski type inequalities involving conformable fractional integrals
• Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation
• A generalization of Ostrowski inequality on time scales forkpoints
• New time scale generalizations of the Ostrowski-Grüss type inequality for \(k\) points
• Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
• A generalization of Ostrowski type inequality on time scales with k points
• A new generalization of Ostrowski type inequality on time scales
• Generalized weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales via a parameter function
• A parameter-based Ostrowski type inequality on time scales with k points for functions having bounded second derivatives
• Ostrowski Type Inequalities
• A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a,b\) and applications in numerical integration]
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