Results 61 to 70 of about 4,142 (221)

Reproducing kernel functions for linear tenth-order boundary value problems

open access: yesITM 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
doaj   +1 more source

Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the Black-Scholes option pricing problem arising in financial modelling

open access: yesMathematical 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
doaj   +1 more source

Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order [PDF]

open access: yes, 2022
In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related results in this framework.
Alpay, Daniel   +3 more
core   +2 more sources

New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space [PDF]

open access: yes, 2021
We use Kittaneh and Manasrah inequality and Kian’s functional calculus method to prove some new inequalities for Berezin symbols and Berezin numbers of operators.
Tapdıgoğlu, Ramiz, Ramiz Tapdigoglu
core   +1 more source

New Numerical Method for Solving Tenth Order Boundary Value Problems

open access: yesMathematics, 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
doaj   +1 more source

Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

open access: yesFractal 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
doaj   +1 more source

Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space

open access: yesJournal of Mathematics, 2022
In this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem.
Hoda Saky   +2 more
doaj   +1 more source

ORBIT‐AMD: Ordinal Risk, Bilateral Imaging, and Trajectory Learning for Age‐Related Macular Degeneration in Multi‐Cohorts

open access: yesAdvanced Science, EarlyView.
Eligibility flow and real‐world AMD burden in the UKB retinal imaging cohort and TMUEH external‐validation cohort. Overview of the ORBIT‐AMD architecture, integrating retinal representation pretraining, bilateral eye‐graph modeling and concept bottleneck learning to support ordered risk, bilateral context, interpretable lesion concepts, longitudinal ...
Xuehao Cui   +3 more
wiley   +1 more source

Reproducing Kernel Hilbert Spaces [PDF]

open access: yes, 2019
This chapter introduces an elegant mathematical theory that has been developed for nonparametric regression with penalized estimation.
openaire   +2 more sources

Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

open access: yesAbstract and Applied Analysis, 2013
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc   +2 more
doaj   +1 more source

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