Results 1 to 10 of about 63,273 (275)
Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral [PDF]
Journal of Applied Mathematics, 2012 We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains
Er Gao, Songhe Song, Xinjian Zhang
doaj +4 more sources
Reproducing Kernels and Variable Bandwidth [PDF]
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
doaj +3 more sources
Fractal and Fractional, 2022 Fractional-order calculus has become a useful mathematical framework to describe the complex super-diffusive process; however, numerical solutions of the two-sided space-fractional super-diffusive model with variable coefficients are difficult to obtain,
Zhiyuan Li +3 more
doaj +3 more sources
On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces
Mohammadreza Foroutan
doaj +1 more source
Some Properties of Reproducing Kernel Banach and Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems.
Saeed Hashemi Sababe, Ali Ebadian
doaj +1 more source
The Polyanalytic Reproducing Kernels [PDF]
Complex Analysis and Operator Theory, 2019 17
Hicham Hachadi, El Hassan Youssfi
openaire +3 more sources
New Reproducing Kernel Functions [PDF]
Mathematical Problems in Engineering, 2015 Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers. We need these functions to solve dynamic equations on time scales with the reproducing kernel method.
openaire +4 more sources
Theory of Reproducing Kernels [PDF]
Transactions of the American Mathematical Society, 1950 Abstract : The present paper may be considered as a sequel to our previous paper in the Proceedings of the Cambridge Philosophical Society, Theorie generale de noyaux reproduisants-Premiere partie (vol. 39 (1944)) which was written in 1942-1943. In the introduction to this paper we outlined the plan of papers which were to follow.
openaire +3 more sources
A nice asymptotic reproducing kernel
Cubo, 2023 We extend the assertion of Problem 12340 in Amer. Math. Monthly 129 (2022), 686, by deriving some additional asymptotic behaviour of that special kernel.
Raymond Mortini
doaj +1 more source
Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations
Advances in Mathematical Physics, 2020 This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li +3 more
doaj +1 more source