Generalized fractional integral inequalities for continuous random variables

DOI10.1155/2015/958980zbMath1426.60022OpenAlexW1976054910WikidataQ59114243 ScholiaQ59114243MaRDI QIDQ1657990

Abdullah Akkurt, Zeynep Kaçar, Hüseyin Yıldırım

Publication date: 14 August 2018

Published in: Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/958980

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (12)

Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Some parameterized inequalities arising from the tempered fractional integrals involving the (μ,η)-incomplete gamma functions ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals ⋮ Unnamed Item ⋮ Fractional differential equations of Caputo-Katugampola type and numerical solutions ⋮ A note on Katugampola fractional calculus and fractal dimensions ⋮ Some estimations on continuous random variables for \((k, s)\)-fractional integral operators ⋮ Some new inequalities using nonintegral notion of variables ⋮ New weighted concepts for continuous random variables with applications ⋮ Properties of the Katugampola fractional operators ⋮ Local existence-uniqueness and monotone iterative approximation of positive solutions for \(p\)-Laplacian differential equations involving tempered fractional derivatives ⋮ On Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals

Cites Work

• On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
• New bounds for moments of continuous random variables
• A generalization of Grüss's inequality in inner product spaces and applications
• Inequalities involving moments of a continuous random variable defined over a finite interval
• Fractional Differentiation Inequalities
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