Views provided by UsageCountsAn approximation property of Gaussian functions
Copyright policy ) Jung, Soon-Mo; Sevli, Hamdullah; Sevgin, Sebaheddin;
An approximation property of Gaussian functions
Summary: Using the power series method, we solve the inhomogeneous linear first order differential equation \[ y'(x) + \lambda (x-\mu) y(x) = \sum_{m=0}^\infty a_m (x-\mu)^m, \] and prove an approximation property of Gaussian functions.
Turkey
- Hongik University Korea (Republic of)
- Istanbul Commerce University Turkey
- Yüzüncü Yıl University Turkey
Linear ordinary differential equations and systems, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Perturbations of ordinary differential equations, local Hyers-Ulam stability, Hyers-Ulam Stability, Approximation by other special function classes, linear first-order differential equation, Local Hyers-Ulam Stability, Gaussian function, Power Series Method, Gaussian Function, QA1-939, Differential inequalities involving functions of a single real variable, Linear First Order Differential Equation, Hyers-Ulam stability, power series method, Approximation, approximation, Linear first order differential equation, Mathematics
Linear ordinary differential equations and systems, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Perturbations of ordinary differential equations, local Hyers-Ulam stability, Hyers-Ulam Stability, Approximation by other special function classes, linear first-order differential equation, Local Hyers-Ulam Stability, Gaussian function, Power Series Method, Gaussian Function, QA1-939, Differential inequalities involving functions of a single real variable, Linear First Order Differential Equation, Hyers-Ulam stability, power series method, Approximation, approximation, Linear first order differential equation, Mathematics
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