Results 21 to 30 of about 167 (104)
Generalized Multiquartic Mappings, Stability, and Nonstability
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this article, a generalized form of n‐quartic mappings is introduced. The structure of such mappings is studied, and in fact, it is shown that every multiquartic mapping can be described as an equation, namely, the (generalized) multiquartic functional equation.
Abasalt Bodaghi, G. Muhiuddin
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Characterization and Stability of Multi‐Euler‐Lagrange Quadratic Functional Equations
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The aim of the current article is to characterize and to prove the stability of multi‐Euler‐Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi‐Euler‐Lagrange quadratic mappings to an equation, say, the multi‐Euler‐Lagrange quadratic functional equation.
Abasalt Bodaghi +3 more
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Banach function norms via Cauchy polynomials and applications [PDF]
, 2015 Let X_1,...,X_k be quasinormed spaces with quasinorms | ⋅ |_j, j = 1,...,k, respectively. For any f = (f_1,⋯,f_k) ∈ X_1 ×⋯× X_k let ρ(f) be the unique non-negative root of the Cauchy polynomial pf(x)=x^k-sum_{j=1}^k!f_j|_j^jx^{k-j} .
ANATRIELLO, GIUSEPPINA +2 more
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On Smoothness in Lp, 0 < p < 1
Моделирование и анализ информационных систем, 2015 We discuss properties of functions which are covered by spreading the differentiation operator from the space W₁¹.
A. N. Morozov
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 We have defined the variable exponent of the Cesàro complex function space of formal power series. We have constructed the prequasi‐ideal generated by s -numbers and this new space of complex functions. We present some topological and geometric structures of this class of ideal. The existence of Caristi’s fixed point is examined.
Awad A. Bakery +2 more
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, 2018 Proximal methods are an important tool in signal processing applications, where many problems can be characterized by the minimization of an expression involving a smooth fitting term and a convex regularization term – for example the classic ℓ1-Lasso ...
Cian O'Brien +3 more
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Dual of Modulation Spaces with Variable Smoothness and Integrability
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we first give a proof for the denseness of the Schwartz class in the modulation spaces with variable smoothness and integrability. Then, we study the dual spaces of such modulation spaces.
Hua Zhu, Ozgur Ege
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Method of Lagrange Multipliers for Normalized Zero Norm Minimization
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 We present a normalization of the p‐norm. A compressive sensing criterion is proposed using the normalized zero norm. Based on the method of Lagrange multipliers, we derive the solution of the proposed optimization framework. It turns out that the new solution is a limit case of the least fractional norm solution for p = 0, where its fixed‐point ...
Bamrung Tausiesakul +1 more
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Countable Additivity of Spreading the Differentiation Operator
Моделирование и анализ информационных систем, 2014 In this article, we continue the study of the properties acquired by the differentiation operator Λ with spreading beyond the space W1¹. The study is conducted by introducing the family of spaces Yp¹ , 0 < p < 1, having analogy with the family Wp¹,
A. N. Morozov
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Mathematics, 2022 Extended Dynamic Mode Decomposition (EDMD) allows an approximation of the Koopman operator to be derived in the form of a truncated (finite dimensional) linear operator in a lifted space of (nonlinear) observable functions.
Camilo Garcia-Tenorio +1 more
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