Results 1 to 10 of about 24 (24)
Large gap asymptotics for the generating function of the sine point process
Proceedings of the London Mathematical Society, Volume 123, Issue 2, Page 103-152, August 2021., 2021 Abstract We consider the generating function of the sine point process on m consecutive intervals. It can be written as a Fredholm determinant with discontinuities, or equivalently as the convergent series ∑k1,…,km⩾0P∩j=1m#{pointsinthejthinterval}=kj∏j=1msjkj,where s1,…,sm∈[0,+∞). In particular, we can deduce from it joint probabilities of the counting
Christophe Charlier
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Alexandria Engineering Journal, 2021 This paper describes the exceptionally precise results of 6th-order and 8th-order nonlinear boundary-value problems(BVPs). Cubic-Nonpolynomial spline(CNPS) and Cubic-polynomial spline(CNPS) are utilized to solve such types of BVPs.
Aasma Khalid +4 more
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Veterinary Dermatology, Volume 32, Issue 2, Page 114-e23, April 2021., 2021 Background – Canine atopic dermatitis (cAD) is a common inflammatory and pruritic skin disease, with various treatment options. The use of topical products containing natural ingredients has proven increasingly popular. Objective – To evaluate the effects of a spray solution containing heat‐killed Lactobacillus rhamnosus and L. reuteri, on the clinical
Domenico Santoro +3 more
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Direct and strong converse inequalities for approximation with Fejér means
Demonstratio Mathematica, 2020 We present upper and lower estimates of the error of approximation of periodic functions by Fejér means in the Lebesgue spaces L2πp{L}_{2{\pi }}^{p}. The estimates are given in terms of a K-functional for 1≤p≤∞1\le p\le \infty and in terms of the first ...
Bustamante Jorge
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On trigonometric approximation of functions in the Lq norm
Demonstratio Mathematica, 2018 In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the
Mohapatra Ram N., Szal Bogdan
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On the approximation by trigonometric polynomials in weighted Lorentz spaces
Journal of Function Spaces, Volume 8, Issue 1, Page 67-86, 2010., 2010 We obtain estimates of structural characteristics of 2π‐periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces.
Vakhtang Kokilashvili +2 more
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Stečkin inequalities for summability methods
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 93-100, 1997., 1995 Stečkin proved an inequality on Fejér means of Fourier series He said, “Proving similar inequality for other summability method is an interesting problem.” We generalize Stečkin′s inequality and give various applications to summability methods.
Jia-Ding Cao
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On approximation in generalized Zygmund class
Demonstratio Mathematica, 2019 Here, we estimate the degree of approximation of a conjugate function g˜{\tilde g} and a derived conjugate function g˜′{\tilde g'} , of a 2π-periodic function g∈Zrλg \in Z_r^\lambda , r ≥ 1, using Hausdorff means of CFS (conjugate Fourier series) and
Nigam Hare Krishna
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A mathematical theory of super-resolution and two-point resolution
Forum of Mathematics, SigmaThis paper focuses on the fundamental aspects of super-resolution, particularly addressing the stability of super-resolution and the estimation of two-point resolution. Our first major contribution is the introduction of two location-amplitude identities
Ping Liu, Habib Ammari
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Almost periodic functions on time scales and their properties
Open MathematicsIn this article, we first propose a concept of almost periodic functions on arbitrary time scales, which is defined by trigonometric polynomial approximations with respect to supremum norm, and study some basic properties of these kinds of functions ...
Li Yongkun, Huang Xiaoli
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