Slowly varying functions and generalized logarithmic summability
نویسندگان
چکیده
منابع مشابه
Very Slowly Varying Functions
A real-valued function f of a real variable is said to be (p-slowly varying ((p-s .v.) if limn_ . rp (x) [ f (x + a) f (x)] = 0 for each a. It is said to be uniformly 9-slowly varying (u . (P-s .v .) if limn-. . sup, e r rp(x) ; f (x-a) f (x)I =0 for every bounded interval I. It is supposed throughout that rp is positive and increasing . It is proved that if w increases rapidly enough, then eve...
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Let L(x) be a slowly varying function at both zero and infinity. The existence of the non-commutative neutrix convolution product of the distributions x+L(x) and x μ − is proved, where λ, μ are real numbers such that λ, μ / ∈ −N and λ+μ / ∈ −Z . Some other products of distributions are obtained. AMS Mathematics Subject Classification (2000): 46F10
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1976
ISSN: 0022-247X
DOI: 10.1016/0022-247x(76)90100-1