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An improved upper bound for ultraspherical coefficients
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نویسنده
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hamzehnejad mehdi ,mohammad mehdi hosseini ,salemi abbas
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منبع
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journal of mathematical modeling - 2022 - دوره : 10 - شماره : 3 - صفحه:421 -431
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چکیده
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In this paper, new upper bounds for the ultraspherical coefficients of differentiable functions are presented. using partial sums of ultraspherical polynomials, error approximations are presented to estimate differentiable functions. also, an error estimate of the gauss-jacobi quadrature is obtained and we state an upper bound for legendre coefficients which is sharper than upper bounds proposed so far. numerical examples are given to assess the efficiency of the presented theoretical results.
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کلیدواژه
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Ultraspherical coefficients approximation error upper bound Gauss-Jacobi quadrature
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آدرس
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graduate university of advanced technology, faculty of science and modern technology, department of mathematics, Iran. shahid bahonar university of kerman, mahani mathematical research center, department of applied mathematics, Iran, shahid bahonar university of kerman, mahani mathematical research center, department of applied mathematics, Iran, shahid bahonar university of kerman, mahani mathematical research center, department of applied mathematics, Kerman
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Authors
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