Generalized Riemann-Liouville  $k$ -Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities | Zendy

Young Chel Kwun | Zendy; Ghulam Farid | Zendy; Waqas Nazeer | Zendy; Saleem Ullah | Zendy; Shin Min Kang | Zendy

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Generalized Riemann-Liouville

$k$

-Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities

Author(s) -

Young Chel Kwun,

Ghulam Farid,

Waqas Nazeer,

Saleem Ullah,

Shin Min Kang

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2878266

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis. The objective of this paper is to define a more general form of Riemann-Liouville k-fractional integrals with respect to an increasing function, which are used to obtain fractional integral inequalities of Ostrowski type. A simple and straightforward approach is followed to establish these inequalities. The applications of established results are also briefly discussed and succeeded to get bounds of some fractional Hadamard inequalities.

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