Dini Derivatives of Continuous Functions
نویسندگان
چکیده
منابع مشابه
On Dini and Approximate Dini Derivates of Typical Continuous Functions
In the thirties, Banach, Mazurkiewicz and Jarnnk found relations connecting Dini derivates of a typical continuous function on 0; 1] at all points of (0; 1). We prove, answering a question of K. M. Garg, that there are no further relations of this sort. An analogous result is proved also for approximate Dini derivates. The aim of this note is to present relatively simple proofs of these results...
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Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lip...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1954
ISSN: 0002-9939
DOI: 10.2307/2032119