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Weighted Montgomery identity for the fractional integral of a function with respect to another function
-
Andrea Aglić Aljinović
,
Mario Krnić
Published/Copyright:
February 12, 2014
Abstract.
We present a weighted Montgomery identity for the fractional integral
of a function f with respect to another function g and use it
to obtain weighted Ostrowski type inequalities for fractional
integrals involving functions whose first derivatives belong to
Lp spaces. These inequalities are generally sharp in case
Received: 2011-04-30
Revised: 2013-12-26
Accepted: 2013-12-27
Published Online: 2014-02-12
Published in Print: 2014-03-01
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Weighted Montgomery identity for the fractional integral of a function with respect to another function
- New classes of Hermite–Tricomi functions and generating relations
- On *-centralizing mappings in rings with involution
- On the general linear boundary value problems for impulsive systems with singularities
- On the topology of spaces of partial and local maps
- On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
- Shared values for differences and Borel exceptional values
- Absolute convergence of multiple Fourier–Haar series
- A Stancu variant of Beta-Szász operators
- On some real-valued step-functions with strange measurability properties
- A topological approach to the nilpotent multipliers of a free product
- On firmly nonexpansive perturbations of the identity in Hilbert spaces
- Boundedness of some sublinear operators on Herz–Morrey spaces with variable exponent
Articles in the same Issue
- Frontmatter
- Weighted Montgomery identity for the fractional integral of a function with respect to another function
- New classes of Hermite–Tricomi functions and generating relations
- On *-centralizing mappings in rings with involution
- On the general linear boundary value problems for impulsive systems with singularities
- On the topology of spaces of partial and local maps
- On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
- Shared values for differences and Borel exceptional values
- Absolute convergence of multiple Fourier–Haar series
- A Stancu variant of Beta-Szász operators
- On some real-valued step-functions with strange measurability properties
- A topological approach to the nilpotent multipliers of a free product
- On firmly nonexpansive perturbations of the identity in Hilbert spaces
- Boundedness of some sublinear operators on Herz–Morrey spaces with variable exponent
