Results 21 to 30 of about 265 (178)
Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent
Journal of Numerical Analysis and Approximation Theory, 2021 In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
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Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces
Journal of Function Spaces and Applications, 2012 We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and ...
Takahiro Noi
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On Variable Exponent Amalgam Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
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Abstract and Applied Analysis, 2013 We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
Hui-Ling Wu, Jia-Cheng Lan
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Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces
SIAM Journal on Scientific Computing, 2022 We consider structured optimisation problems defined in terms of the sum of a smooth and convex function, and a proper, l.s.c., convex (typically non-smooth) one in reflexive variable exponent Lebesgue spaces $L_{p(\cdot)}(Ω)$. Due to their intrinsic space-variant properties, such spaces can be naturally used as solution space and combined with space ...
Marta Lazzaretti +2 more
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Approximation by Zygmund means in variable exponent Lebesque spaces [PDF]
Mathematica Moravica, 2019 In the present work we investigate the approximation of the functions by the Zygmund means in variable exponent Lebesgue spaces. Here the estimate which is obtained depends on sequence of the best approximation in Lebesgue spaces with variable exponent ...
Jafarov Sadulla Z.
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On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]
Mathematica Moravica, 2023 In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes ...
Jafarov Sadulla Z.
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Mathematics, 2020 In this paper, we prove two generalized concentration-compactness principles for variable exponent Lebesgue spaces and as an application study the asymptotic behaviour of low energy extremals.
Zia Bashir +3 more
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WEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE
Journal of Science and Arts, 2023 In this paper, we introduce the weighted variable exponent Lebesgue spaces defined on a probability space and give some information about the martingale theory of these spaces. We first prove several basic inequalities for expectation operators and obtain several norm convergence conditions for martingales in weighted variable exponent Lebesgue spaces.
Aydin, Ismail, Aydin, Demet
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Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent
Journal of Function Spaces, 2014 We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early.
Baohua Dong, Jingshi Xu
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