Joint Detection and Communication over Type-Sensitive Networks. [PDF]
Shaska J, Mitra U.
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Convolutions and best approximations in variable exponent lebesgue spaces
In the variable exponent Lebesgue spaces a convolution is defined and its estimations in the variable exponent Lebesgue spaces by the best approximation numbers are obtained.
Israfilov, Daniyal M., Yırtıcı, Elife
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Mawhin J +2 more
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Almost Surely Exponential Convergence Analysis of Time Delayed Uncertain Cellular Neural Networks Driven by Liu Process via Lyapunov-Krasovskii Functional Approach. [PDF]
Wang C, Jia Z, Zhang Y, Zhao X.
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Isometric Operators on Variable-Exponent Discrete Lebesgue Spaces
11 ...
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Phase transitions in porous media. [PDF]
Gavioli C, Krejčí P.
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Kolmogorov compactness criterion in variable exponent Lebesgue spaces
The well-known Kolmogorov compactness criterion is extended to the case of variable exponent Lebesgue spaces $L^{p(\cdot)}( )$, where $ $ is a bounded open set in $\mathbb R^n$ and $p(\cdot)$ satisfies some "standard" conditions. Our final result should be called Kolmogorov-Tulajkov Sudakov compactness criterion, since it includes the case $p_-=1 ...
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The Fourier transform in variable exponent Lebesgue spaces
In this work we define a Fourier transform for each $f\in L^{p(\cdot)}(\mathbb{R})$, for a large class of exponent functions $p(\cdot)$, as the distributional derivative of a Hölder continuous function. A norm is defined in the space of such Fourier transforms so that it is isometrically isomorphic to $L^{p(\cdot)}(\mathbb{R})$.
Kowacs, André Pedroso +1 more
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Records and Occupation Time Statistics for Area-Preserving Maps. [PDF]
Artuso R +3 more
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Simultaneous Approximation In Lebesgue Space With Variable Exponent
In this paper we deal with the simultaneous approximations by trigonometric polynomials of 27 periodic functions in the variable exponent Lebesgue spaces. In terms of the higher moduli of smoothness the direct and inverse theorems of simultaneous approximation are proved. Moreover, the generalized variable exponent Lipschitz classes are defined and the
Israfilov, Daniyal M., Testici, Ahmet
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