Results 41 to 50 of about 124 (115)
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi +3 more
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Uniformly summing sets of operators on spaces of continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3397-3407, 2004., 2004 Let X and Y be Banach spaces. A set ℳ of 1‐summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1‐summing sequence (xn) in X, the series ∑n‖Txn‖ is uniformly convergent in T ∈ ℳ. We study some general properties and obtain a characterization of these sets when ℳ is a set of operators defined on spaces ...
J. M. Delgado, Cándido Piñeiro
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Cm solutions of systems of finite difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 36, Page 2315-2326, 2003., 2003 Let ℝ be the real number axis. Suppose that G, H are Cm maps from ℝ2n+3 to ℝ. In this note, we discuss the system of finite difference equations G(x, f(x), f(x + 1), …, f(x + n), g(x), g(x + 1), …, g(x + n)) + 0 and H(x, g(x), g(x + 1), …, g(x + n), f(x), f(x + 1), …, f(x + n)) = 0 for all x ∈ ℝ, and give some relatively weak conditions for the above ...
Xinhe Liu, Xiuli Zhao, Jianmin Ma
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Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Open Mathematics, 2020 In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif +2 more
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Composition operators from the Bloch space into the spaces QT
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 31, Page 1973-1979, 2003., 2003 Suppose that φ(z) is an analytic self‐map of the unit disk Δ. We consider the boundedness of the composition operator Cφ from Bloch space ℬ into the spaces QT (QT,0) defined by a nonnegative, nondecreasing function T(r) on 0 ≤ r < ∞.
Pengcheng Wu, Hasi Wulan
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Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces
Demonstratio MathematicaThis study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
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Continuous linear operators on Orlicz-Bochner spaces
Open Mathematics, 2019 Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and Tφ∧$\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest ...
Nowak Marian
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Geometric properties of composition operators belonging to Schatten classes
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 4, Page 239-248, 2001., 2001 We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto′s conjectures and show a new compact composition operator which is not in any of ...
Yongsheng Zhu
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Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces [PDF]
, 2014 This paper discusses the problem of boundedness and compactness for weighted composition operators defined on a Müntz subspace of L^1([0,1]). We compute the essential norm of such operators when the symbol ϕ of the composition operator satisfies a ...
Al Alam, Ihab, Lefèvre, Pascal
core +1 more source
On the continuity in q of the family of the limit q-Durrmeyer operators
Demonstratio MathematicaThis study deals with the one-parameter family {Dq}q∈[0,1]{\left\{{D}_{q}\right\}}_{q\in \left[0,1]} of Bernstein-type operators introduced by Gupta and called the limit qq-Durrmeyer operators.
Yılmaz Övgü Gürel +2 more
doaj +1 more source