Results 21 to 30 of about 1,714 (187)
Reproducing Kernels and Variable Bandwidth
Journal of Function Spaces and Applications, 2012 We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
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Advances in Difference Equations, 2018 In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space.
Ghaleb N. Gumah +3 more
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INFERENCE ON THE REPRODUCING KERNEL HILBERT SPACES
Universal Journal of Mathematics and Mathematical Sciences, 2021 Summary: Learning and interpolation are two extreme variants of the same problem, the object of which is to construct a function which is supposed to reasonably approximate an unknown function of which only a certain number of samples are known.
Agbokou, Komi, Mensah, Yaogan
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Reproducing kernel Hilbert space method for solving fractal fractional differential equations
Results in Physics, 2022 Based on reproducing kernel theory, an analytical approach is considered to construct numerical solutions for some basic fractional ordinary differential equations (FODEs, for short) under fractal fractional derivative with the exponential decay kernel ...
Nourhane Attia +4 more
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A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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Reproducing kernel functions for linear tenth-order boundary value problems
ITM Web of Conferences, 2018 Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali +3 more
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Mathematical Modelling and Analysis, 2018 Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions ...
Mohammadreza Foroutan +2 more
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Probability Error Bounds for Approximation of Functions in Reproducing Kernel Hilbert Spaces
Journal of Function Spaces, 2021 We find probability error bounds for approximations of functions f in a separable reproducing kernel Hilbert space H with reproducing kernel K on a base space X, firstly in terms of finite linear combinations of functions of type Kxi and then in terms of
Ata Deniz Aydın, Aurelian Gheondea
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New Numerical Method for Solving Tenth Order Boundary Value Problems
Mathematics, 2018 In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems.
Ali Akgül +3 more
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Fractal and Fractional, 2020 In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms.
Onur Saldır +2 more
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