SOME CAPUTO k-FRACTIONAL DERIVATIVES OF OSTROWSKI TYPE CONCERNING (n

被引：0

作者：

Kashuri, Artion ^{[1
]}

Liko, Rozana ^{[1
]}

机构：

[1] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期

关键词：

Ostrowski type inequality; Holder's inequality; Minkowski inequality; power mean inequality; Caputo k-fractional derivatives; s-convex function in the second sense; m-invex; INTEGRAL-INEQUALITIES; CONVEX FUNCTIONS; SIMPSON TYPE; GRUSS TYPE; SHARP INEQUALITIES;

D O I：

10.31801/cfsuasmas.501430

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi(r: m, p, q, h(1), h(2))-preinvex mappings. And then, a new identity concerning (n+1)-differentiable mappings de.ned on m-invex set via Caputo k-fractional derivatives is derived. By using the notion of generalized relative semi-(r, m, p, q, h(1), h(2))-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities via Caputo k-fractional derivatives are established. It is pointed out that some new special cases can be deduced from main results of the article.

引用

页码：973 / 996

页数：24

共 50 条

[31] On some Hermite–Hadamard inequalities involving k-fractional operators
Shanhe Wu
Sajid Iqbal
Muhammad Aamir
Muhammad Samraiz
Awais Younus
Journal of Inequalities and Applications, 2021
[32] Hermite-Hadamard type inequalities via k-fractional integrals concerning differentiable generalized η-convex mappings
Kashuri, Artion
Liko, Rozana
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2020, 24 (01): : 19 - 35
[33] An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
Diethelm, Kai
NUMERICAL ALGORITHMS, 2008, 47 (04) : 361 - 390
[34] An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
Kai Diethelm
Numerical Algorithms, 2008, 47 : 361 - 390
[35] FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES ARE PREQUASIINVEX
Avazpour, Ladan
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (02): : 15 - 29
[36] Caputo-type modification of the Hadamard fractional derivatives
Fahd Jarad
Thabet Abdeljawad
Dumitru Baleanu
Advances in Difference Equations, 2012
[37] Caputo-type modification of the Hadamard fractional derivatives
Jarad, Fahd
Abdeljawad, Thabet
Baleanu, Dumitru
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[38] SOME k-FRACTIONAL INTEGRAL INEQUALITIES FOR p-CONVEX FUNCTIONS
Mehreen, Naila
Anwar, Matloob
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (01): : 25 - 39
[39] Some generalized Riemann-Liouville k-fractional integral inequalities
Agarwal, Praveen
Tariboon, Jessada
Ntouyas, Sotiris K.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[40] Some New Ostrowski Type Inequalities for Generalized Fractional Integrals
Yaldiz, Hatice
Set, Erhan
1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991

← 1 2 3 4 5 →