Leibnizs rule and Fubinis theorem associated with Hahn difference operators
نویسندگان
چکیده
منابع مشابه
Hahn Difference Operator and Associated Jackson-Nörlund Integrals
This paper is devoted for a rigorous investigation of Hahn’s difference operator and the associated calculus. Hahn’s difference operator generalizes both the difference operator and Jackson’s q-difference operator. Unlike these two operators, the calculus associated with Hahn’s difference operator receives no attention. In particular, its right inverse has not been constructed before. We aim to...
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ð2Þ ~ T 1⁄4 T ; 8 2 V: We use HBðV;W Þ to denote the set of Hahn–Banach operators. The classical Hahn–Banach theorem states that every rank-1 operator from V into W is a Hahn–Banach operator. It can also be restated in the following way: if dimW 1⁄4 1, then HBðV;W Þ 1⁄4 LðV;W Þ. Observe that the two statements above are slightly different. In the first case we describe a property of an operator...
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ژورنال
عنوان ژورنال: JOURNAL OF ADVANCES IN MATHEMATICS
سال: 2016
ISSN: 2347-1921
DOI: 10.24297/jam.v12i6.3836