GENERALIZATION OF OSTROWSKI'S TYPE INEQUALITY VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL AND APPLICATIONS IN NUMERICAL INTEGRATION, PROBABILITY THEORY AND SPECIAL MEANS

被引：0

作者：

Mehmood, Faraz ^{[1
]}

Soleev, Akhmadjon ^{[2
]}

机构：

[1] Samarkand State Univ, Dept Math, Univ Blvd 15, Samarkand 140104, Uzbekistan

[2] Dawood Univ Engn & Technol, Dept Math, New MA Jinnah Rd, Karachi 74800, Pakistan

来源：

JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2024年 / 17卷 / 01期

关键词：

Fractional Calculus; Riemann-Liouville fractional integral operator; Ostrowski's inequality; Error bounds; Probability density function; Numerical integration; Special means; GRUSS TYPE; DERIVATIVES; IMPROVEMENT; PHI;

D O I：

10.47013/17.1.10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply Riemann-Liouville fractional integral to get a new generalization of Ostrowski's type integral inequality. We may prove new estimates for the remainder term of the midpoint's, trapezoid's, & Simpson's formulae as a result of the generalization. Our estimates are generalized and recaptured some previously obtained estimates. Applications are also deduced for numerical integration, probability theory and special means.

引用

页码：161 / 178

页数：18

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