New general Grüss-type inequalities over \(\sigma\)-finite measure space with applications

DOI10.1186/S13662-020-02933-1zbMath1486.26043OpenAlexW3083235079MaRDI QIDQ2124935

Sajid Iqbal, Muhammad Adil Khan, Gauhar Rahman, Muhammad Samraiz, Thabet Abdeljawad, Kottakkaran Sooppy Nisar

Publication date: 11 April 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02933-1

zbMATH Keywords

kernelfractional integralsGrüss-type inequalitiesYoung inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• New approach to a generalized fractional integral
• New discretization of Caputo-Fabrizio derivative
• Hilfer-Katugampola fractional derivatives
• On Grüss inequalities within generalized \(\mathcal{K}\)-fractional integrals
• Some new Riemann-Liouville fractional integral inequalities
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Fractional Differentiation Inequalities
• On the generalized fractional derivatives and their Caputo modification
• 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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