Results 21 to 30 of about 4,067 (192)
Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions
Fractal and Fractional, 2019 Centered polygonal lacunary functions are a particular type of lacunary function that exhibit properties which set them apart from other lacunary functions. Primarily, centered polygonal lacunary functions have true rotational symmetry.
L.K. Mork +4 more
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I2-lacunary strongly summability for multidimensional measurable functions [PDF]
Publications de l'Institut Mathematique, 2020 Let I2 ? P(N ? N) be a nontrivial ideal. We provide a new approach to the concept of I2-double lacunary statistical convergence and I2-lacunary strongly double summable by taking f(?,?), which is a multidimensional measurable real valued function on (1,?) ? (1,?). Additionally, we examine the relation between these two new methods.
SavaÅŸ, Rabia, Patterson, Richard F.
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Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 The problem of estimating the moduli of smoothness of functions from $L_q$ in terms of moduli of smoothness from $L_p$ is well known. The initial stage in estimating the moduli of smoothness was the study of properties of functions from ...
Simonov, Boris V. +2 more
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Whittaker's Constant for Lacunary Entire Functions [PDF]
Proceedings of the American Mathematical Society, 1963 be an entire function of exponential type r < oo. We are concerned here with two problems which are closely related to the determination of Whittaker's constant, that is to say, with theorems to the effect that if f(z) and each of its derivatives have some zeros in the unit circle then r cannot be too small. DEFINITION 1. The constant Wp is the largest
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Strongly Lacunary Ward Continuity in 2-Normed Spaces
The Scientific World Journal, 2014 A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly
Hüseyin Çakalli, Sibel Ersan
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Carleson measures, trees, extrapolation, and $T(b)$ theorems [PDF]
, 2001 The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysis from the point of view of wave packets on tiles, tree selection ...
Auscher, Pascal +4 more
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Centered Polygonal Lacunary Sequences
Mathematics, 2019 Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets.
Keith Sullivan +2 more
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Maximal Functions Along Convex Curves with Lacunary Directions [PDF]
Taiwanese Journal of Mathematics, 2022 The maximal function \(M_\gamma\) along the curve \((t,\gamma(t))\) is defined by \[ M_\gamma f(x_1,x_2):=\sup_{\varepsilon>0}\frac{1}{2\varepsilon}\int^\varepsilon_{-\varepsilon} | f(x_1-t,x_2-\gamma(t))|dt. \] The question of whether this operator \(M_\gamma\) is bounded on \(L^p(\mathbb{R}^2)\) has received much attention in the last few decades. In
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Minimizing Error Bounds in Lacunary Interpolation by Spline (0, 2) Case [PDF]
Kirkuk Journal of Science, 2009 In this paper, we have changed the boundary conditions and the class of spline functions which are given by (Varma, (1973) from first derivative to third derivative, and show that the change of the boundary conditions and the class of spline functions ...
Karwan H. Jwamer Faridun Kader Hama Salih
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Lacunary statistical convergence and strongly lacunary summable functions of order α
Filomat, 2017 Summary: The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order \(\alpha\) and lacunary statistical convergence of order \(\alpha\) of real-valued functions which are measurable (in the Lebesgue sense) in the interval \((1, \infty)\). Some relations between lacunary statistical convergence of
Srivastava, H. M., Et, Mikail
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