Radii of uniform convexity of some special functions
نویسندگان
چکیده
منابع مشابه
Convexity Properties of Special Functions
Convexity properties are often useful in characterizing and nding bounds for special function and their zeros, as well as in questions concerning the existence and uniqueness of zeros in certain intervals. In this survey paper, we describe some work related to the gamma function, the q-gamma function, Bessel and cylinder functions and the Hermite function.
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15 صفحه اولConvexity Properties of Special Functions and Their Zeros
Convexity properties are often useful in characterizing and nding bounds for special function and their zeros as well as in questions concerning the existence and uniqueness of zeros in certain intervals In this survey paper we describe some work related to the gamma function the q gamma function Bessel and cylinder functions and the Hermite function Introduction Many inequalities for special f...
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The standard proof of the uniform convexity of L using Clarkson’s [1] or Hanner’s [2] inequalities (see also [4]) is rarely taught in functional analysis classes, in part (the author imagines) because the proofs of those inequalities are quite non-intuitive and unwieldy. We present here a direct proof, cheerfully sacrificing the optimal bounds – for which, see [2, 4]. It fits quite nicely in wi...
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ژورنال
عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS
سال: 2018
ISSN: 1303-6149
DOI: 10.3906/mat-1806-43