Inequalities associated with Čebyšev functional for Saigo fractional integration operator

DOI10.1080/10652469.2010.537267zbMath1229.26016OpenAlexW2136822594MaRDI QIDQ3093009

Jitendra Daiya, Tibor K. Pogány, Jeta Ram, Ram Kishore Saxena

Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.537267

zbMATH Keywords

Chebyshev functionalChebyshev-Saigo functionalSaigo fractional integral operatorsynchronous (asynchronous) functionfractional integral inequalityChebyshev-Erdélyi-Kober functionalChebyshev-Riemann-Liouville functional

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)

Related Items (4)

Fractional integral operators characterized by some new hypergeometric summation formulas ⋮ Diaz-Metcalf and Pólya-Szegő type inequalities associated with Saigo fractional integral operator ⋮ On a multiple Čebyšev type functional defined by a generalized fractional integral operator ⋮ New results for Čebyšev type inequalities

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Inequalities for generalized hypergeometric functions
• Generalizations of some classical inequalities via a special functional property
• One- and two-sided inequalities for Jacobian elliptic functions and related results
• A class of two-sided inequalities involving the psi and polygamma functions

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