Generalized multivariate Fink-type identity and some related results on time scales with applications

DOI10.1515/JAA-2019-0020zbMath1434.26051OpenAlexW2989678098MaRDI QIDQ2292433

Sabir Hussain, Muhammad Amer Latif

Publication date: 3 February 2020

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

Full work available at URL: https://doi.org/10.1515/jaa-2019-0020

zbMATH Keywords

time scalesOstrowski inequalityHölder inequalityGrüss inequalityIyengar inequalityFink identity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Inequalities for sums, series and integrals (26D15)

Cites Work

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• Trapezoidal type inequalities for \(n\)-time differentiable functions
• Some weighted Opial-type inequalities on time scales
• Multivariate Fink type identity and multivariate Ostrowski, comparison of means and Grüss type inequalities
• Some generalizations of Maroni's inequality on time scales
• Bounds on the deviation of a function from its averages
• Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]

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