Results 11 to 20 of about 7,009,663 (303)
Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions [PDF]
Mathematica Bohemica, 1996 For Banach space valued functions the definition of almost periodicity is introduced using the density of \(\varepsilon\)-almost periods in \(\mathbb R\). This definition is equivalent to the definition given by S. Bochner. The structure of Fourier exponents and of the range of almost periodic functions is studied in the paper and it is shown that the ...
Fischer, Alexandr
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Almost periodic functions on Hausdorff almost periodic time scales [PDF]
Advances in Difference Equations, 2017 This paper is devoted to generalizing the notion of almost periodic functions on time scales. We introduce a new class of almost periodic time scales called Hausdorff almost periodic time scales by using the Hausdorff distance and propose a more general ...
Desheng Ji, Liu Yang, Jimin Zhang
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Almost automorphic derivative of an almost automorphic function. [PDF]
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2017 In this article are obtained conditions when the derivative of a continuous almost automorphic (an asymptotically almost automorphic, an almost periodic, an asymptotically almost periodic) function remains a continuous almost automorphic (an ...
Svetlana D. Dimitrova-Burlayenko
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Remotely $c$-almost periodic type functions in ${\mathbb{R}}^{n}$
, 2022 summary:In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical almost periodicity; in actual fact, we observe that a remotely almost periodic function is nothing else but a bounded, uniformly continuous quasi ...
Kostić, Marco, Kumar, Vipin
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Further properties of Stepanov--Orlicz almost periodic functions [PDF]
, 2020 summary:We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated.
Boulahia, Fatiha +2 more
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Linear Functionals on Almost Periodic Functions [PDF]
Transactions of the American Mathematical Society, 1953 Our aim is, first, to present two realizations of the space 1* of all bounded complex linear functionals on 21, and, second, to use these realizations for the study of positive definite functions which are not necessarily continuous. In this fashion, we obtain a generalization of Bochner's representation theorem for continuous positive definite ...
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Vector-valued pseudo almost periodic functions [PDF]
, 1997 summary:Vector-valued pseudo almost periodic functions are defined and their properties are investigated. The vector-valued functions contain many known functions as special cases.
Zhang, Chuanyi
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Almost Periodic Time Scales and Almost Periodic Functions on Time Scales [PDF]
Journal of Applied Mathematics, 2015 We propose some new concepts of almost periodic time scales and almost periodic functions on time scales and give some basic properties of these new types of almost periodic time scales and almost periodic functions on time scales. We also give some comments on a recent paper by Wang and Agarwal (2014) concerning a new almost periodic time scale.
Li, Yongkun, Li, Bing
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Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks
Nonlinear Analysis, 2009 In this paper we discuss the existence and uniqueness of a k-pseudo almost periodic sequence solutions of a discrete time neural network. We give several sufficient conditions for the exponential and global attractivity of the solution.
S. Abbas
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Almost periodic functions, constructively [PDF]
Logical Methods in Computer Science, 2005 The almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them. Here we present a simple proof of Bohr's fundamental theorem for almost periodic functions which we then generalize to almost periodic functions on general ...
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