On the almost Chebyshevian approximation to certain operators of the hereditary theory of elasticity

DOI10.1016/0021-8928(82)90113-7zbMath0519.73015OpenAlexW1986311572MaRDI QIDQ1054500

E. S. Sinajskij

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90113-7

zbMATH Keywords

Abel or Rzhanitsyn kernelalmost Chebyshevian approximationapproaches asymptotically with increasing order the Chebyshev polynomials to function on segmentapproximated on arbitrary, finite time intervalerror decreases with increasing order of approximationpolynomial in fractional powersresolvent hereditary operatorsmallest error in defining equationvariable with exponential cofactor

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Integral operators (45P05) Approximation by polynomials (41A10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Elastic materials (74B99)

Cites Work

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