Title of article :
Mellin transform analysis and integration
by parts for Hadamard-type fractional integrals
Author/Authors :
Paul L. Butzer، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Abstract :
This paper is devoted to the study of four integral operators that are basic generalizations
and modifications of fractional integrals of Hadamard, in the space X
p
c of Lebesgue
measurable functions f on R+ = (0,∞) such that
∞
0
ucf (u)
p du
u
<∞ (1 p <∞), ess sup
u>0 uc f (u) <∞ (p=∞),
for c ∈ R = (−∞,∞), in particular in the space Lp(0,∞) (1 p ∞). Formulas for the
Mellin transforms of the four Hadamard-type fractional integral operators are established
as well as relations of fractional integration by parts for them. 2002 Elsevier Science
(USA). All rights reserved.
Keywords :
Mellintransforms , Fractional integration by parts , Spaces of p-summable functions , Hadamard-type fractional integration
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications