This volume presents an account of some of the most important work that has been done in various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P.L. Chebyshev, a leading Russian mathematician.
On the characterization of Chebyshev systems and on conditions of their
extension, Y.G. Abakumov; Chebyshev polynomials with multiple zeros, B.
Bojanov; a new method for generating infinite sets of related sequences of
orthogonal polynomials, starting from first-order initial-value problems,
C.C. Grosjean; orthogonal polynomials on n-spheres - Gegenbauer, Jacobi and
Heun, E.G. Kalnins and W. Miller, Jr.; on the completeness of orthogonal
polynomials in left-definite Sobolex spaces, W.N. Everitt et al; extremal
problems for polynomials and their coefficients, G.V. Milovanovic et al; new
inequalities for polynomials functions, Th.M. Rassias; artificial
intelligence today, G.C. Rota; a certain family of generating functions for
classical orthogonal polynomials, H.M. Srivastava; mean number of real zeros
of a random trigonometric polynomial, J.E. Wilkins, Jr.; orthogonal
polynomials of many variables and degenerated elliptic equations, A.
Yanushauskas; the convexity of Chebyshev sets in Hilbert space, F. Deutsch;
on Lagrange polynomial quasi-interpolation, C.K. Chui et al; and others.
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