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
Pages :
15
From page :
1
To page :
15
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
Serial Year :
2002
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
929951
Link To Document :
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