Novel results of Milne-type inequalities involving tempered fractional integrals

DOI10.1186/s13661-023-01818-yWikidataQ129919594 ScholiaQ129919594MaRDI QIDQ6126938

Hüseyin Budak, Hasan Kara, Umut Baş, Fatih Hezenci

Publication date: 10 April 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

convex functionsMilne-type inequalitytempered fractional integrals

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Cites Work

• Tempered fractional calculus
• Hermite-Hadamard type inequalities for fractional integrals via Green's function
• On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Well-posedness and numerical algorithm for the tempered fractional differential equations
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Decomposition of an Integral Operator by Use of Mikusiński Calculus
• Stochastic models for fractional calculus
• On new Milne-type inequalities for fractional integrals
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