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Yazar "Kushpel, Alexander" için Matematik Bölümü Yayın Koleksiyonu listeleme

Yazar "Kushpel, Alexander" için Matematik Bölümü Yayın Koleksiyonu listeleme

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  • A method of inversion of Fourier transforms and its applications 
    Kushpel, Alexander (Academic Publications LTD, 2019-03-20)
    The problem of inversion of Fourier transforms is a frequently discussed topic in the theory of PDEs, Stochastic Processes and many other branches of Analysis. We consider here in more details an application of a method ...
  • Interpolation of exponential-type functions on a uniform grid by shifts of a basis function 
    Levesley, Jeremy; Sun, Xinping; Jarad, Fahd; Kushpel, Alexander (2020-06)
    In this paper, we present a new approach to solving the problem of interpolating a continuous function at (n+1) equally-spaced points in the interval [0,1], using shifts of a kernel on the (1/n)-spaced infinite grid. The ...
  • Lower bounds of cowidths and widths of multiplier operators 
    Kushpel, Alexander (2022-04)
    The main objective of this article is to present new results on optimal reconstruction of function classes on probability spaces (Ω,A,ν) in the standard Lq spaces. We consider the problem of optimal reconstruction in the ...
  • Methods of Financial Mathematics 
    Kushpel, Alexander (LAMBERT Academic Publishing, 2020-03-27)
  • On the optimality of the trigonometric system 
    Jarad, Fahd; Kushpel, Alexander; Taş, Kenan (Academic Press INC Elsevier Science, 2020-02)
    We study a new phenomenon of the behaviour of widths with respect to the optimality of trigonometric system. It is shown that the trigonometric system is optimal in the sense of Kolmogorov widths in the case of "super-high" ...
  • Optimal Approximation and Pricing of High- Dimensional Options 
    Kushpel, Alexander (Lambert Academic Publishing, 2019)
    The book introduces an original general approach to the problem of multidimensional pricing which is applicable for a wide range of practically important examples. It gives a comprehensive and self-contained treatment of ...
  • The Lebesgue constants on projective spaces 
    Kushpel, Alexander (2021)
    We give the solution of a classical problem of Approximation Theory on sharp asymptotic of the Lebesgue constants or norms of the Fourier-Laplace projections on the real projective spaces Pd (ℝ). In particular, these results ...
  • Widths and entropy of sets of smooth functions on compact homogeneous manifolds 
    Kushpel, Alexander; Taş, Kenan; Levesley, Jeremy (2021)
    We develop a general method to calculate entropy and n-widths of sets of smooth functions on an arbitrary compact homogeneous Riemannian manifold M-d. Our method is essentially based on a detailed study of geometric ...