Some generalized inequalities involving local fractional integrals and their applications for random variables and numerical integration
From MaRDI portal
Publication:1670329
DOI10.1515/jamsi-2016-0008OpenAlexW2569771773MaRDI QIDQ1670329
Nuri Çelik, Samet Erden, Mehmet Zeki Sarikaya
Publication date: 5 September 2018
Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jamsi-2016-0008
Inequalities; stochastic orderings (60E15) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)
Related Items (20)
Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications ⋮ Fejér-Hermite-Hadamard type inequalities involving generalized \(h\)-convexity on fractal sets and their applications ⋮ Some new Simpson-type inequalities for generalized \(p\)-convex function on fractal sets with applications ⋮ Generalized fractal Jensen and Jensen-Mercer inequalities for harmonic convex function with applications ⋮ NEW INEQUALITIES ON GENERALIZED m-CONVEXITY ON FRACTAL SETS ⋮ PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE ⋮ Generalized Fejér-Hermite-Hadamard type via generalized \((h-m)\)-convexity on fractal sets and applications ⋮ FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS ⋮ Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized \(s\)-convex in the second sense ⋮ PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ REVISITING FEJÉR–HERMITE–HADAMARD TYPE INEQUALITIES IN FRACTAL DOMAIN AND APPLICATIONS ⋮ CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS ⋮ Unnamed Item ⋮ SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS ⋮ Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex ⋮ Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality ⋮ NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES ⋮ LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized Pompeiu type inequalities for local fractional integrals and its applications
- On generalized some integral inequalities for local fractional integrals
- An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
- Some integral inequalities of Grüss type
- Some inequalities for probability, expectation, and variance of random variables defined over a finite interval
- Generalized convex functions on fractal sets and two related inequalities
- Analysis of fractal wave equations by local fractional Fourier series method
- Generalizations of Hölder's and some related integral inequalities on fractal space
- Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals
- Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
- Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
- On new estimation of the remainder in generalized Taylor's formula
- 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. \ .]
This page was built for publication: Some generalized inequalities involving local fractional integrals and their applications for random variables and numerical integration