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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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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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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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On fully split lacunary polynomials in finite fields [PDF]
, 2011 We estimate the number of possible types degree patterns of $k$-lacunary polynomials of degree $t < p$ which split completely modulo $p$. The result is based on a combination of a bound on the number of zeros of lacunary polynomials with some graph ...
Bibak, Khodakhast, Shparlinski, Igor E.
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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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A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β
Journal of Function Spaces, 2022 In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α,β over n-normed spaces via Musielak-Orlicz function M=Ik.
Qing-Bo Cai +2 more
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Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
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The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 Let uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala +2 more
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Lacunary Discrete Spherical Maximal Functions
, 2018 We prove new $\ell ^{p} (\mathbb Z ^{d})$ bounds for discrete spherical averages in dimensions $ d \geq 5$. We focus on the case of lacunary radii, first for general lacunary radii, and then for certain kinds of highly composite choices of radii.
Kesler, Robert +2 more
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