SEVERAL INTEGRAL INEQUALITIES FOR GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL OPERATORS

被引：3

作者：

Galeano Delgado, Juan Gabriel ^{[1
]}

Napoles Valdes, Juan E. ^{[2
]}

Perez Reyes, Edgardo ^{[3
]}

机构：

[1] Univ Sinu Elias Bechara Zainum, Fac Ciencias Ingn, Monteria, Colombia

[2] UNNE, FaCENA Ave Libertad 5450, RA-3400 Corrientes, Argentina

[3] UTN FRRE, French 414,Resistencia, RA-3500 Chaco, Argentina

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2021年 / 70卷 / 01期

关键词：

Generalized fractional operator; Riemann-Liouville integral; integral inequalities; MONOTONICITY;

D O I：

10.31801/cfsuasmas.771172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using a generalized integral operator, of the Riemann-Liouville type, defined and studied in a previous work by the authors, we obtain various integral inequalities for positive functions, which contains several reported in the literature. Various remarks carried out throughout the work and pointed out in the Conclusions, show the scope and strength of our results, in particular, it is shown that under particular cases of the considered kernel, several known fractional integral operators are obtained.

引用

页码：269 / 278

页数：10

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