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| Preface | |
| On the Characterization of Chebyshev Systems and on Conditions of Their Extension | p. 1 |
| Characterizations for the Existence of a Solution to the Moment Problem on a Finite Number of Intervals | p. 9 |
| Some Results on Compositions of Algebra-Valued Abstract Polynomials | p. 35 |
| Discontinuous Alternation from a Singularity | p. 43 |
| Some Inequalities for Polynomials | p. 57 |
| Rate of Convergence of Linear Mean Subsequencies of Fourier Sums | p. 65 |
| On Markov and Sobolev Type Inequalities on Compact Sets in R[superscript n] | p. 81 |
| Application of Chebyshev Polynomials to Antenna Design | p. 101 |
| A Set of Research Problems in Approximation Theory | p. 109 |
| On Lagrange Polynomial Quasi-Interpolation | p. 125 |
| The Convexity of Chebyshev Sets in Hilbert Space | p. 143 |
| Trigonometric Symmetries: Four-Dimensional Identities of Modified Chebyshev Polynomials | p. 151 |
| On the Completeness of Orthogonal Polynomials in Left-Definite Sobolev Spaces | p. 173 |
| Inequalities for Polynomials and Trigonometric Polynomials Related to the Bernstein Inequality | p. 197 |
| Miscellaneous Problem Solved in Terms of Chebyshev's Orthogonal Polynomials of the First and the Second Kind | p. 209 |
| A New Method for Generating Infinite Sets of Related Sequences of Orthogonal Polynomials, Starting from First-Order Initial-Value | p. 247 |
| Some Remarks for the Methods to Find All the Zeros of a Polynomial Simultaneously | p. 273 |
| Interpolatory Properties of Chebyshev Polynomials | p. 287 |
| Orthogonal Polynomials on n-Spheres: Gegenbauer, Jacobi and Heun | p. 299 |
| Rational Approximations: A Tau Method Approach | p. 323 |
| On the Rational Chebyshev Approximants to a Real-Valued Function with an Unbounded Number of the Poles | p. 335 |
| Orthogonal Polynomials and Ordinary Differential Equations | p. 347 |
| Theory and Applications of Dickson Polynomials | p. 371 |
| Some Bilinear Formulas and Integral Equations for Chebyshev Polynomials | p. 397 |
| On some Turan's Extremal Problems for Algebraic Polynomials | p. 403 |
| Extremal Problems for Polynomials and Their Coefficients | p. 435 |
| An Application of the Chebyshev Integral Inequality | p. 457 |
| Some Recent Advances in the Theory of the Zeros and Critical Points of a Polynomial | p. 463 |
| Artificial Intelligence Today | p. 483 |
| The Work of Chebyshev on Orthogonal Polynomials | p. 495 |
| Matching Polynomials and Holographic Neural Networks | p. 513 |
| A Certain Family of Generating Functions for Classical Orthogonal Polynomials | p. 535 |
| A Class of Weight Functions that Admit Chebyshev Quadrature | p. 563 |
| On Some Applications of Polynomials in the Theory of Integral Transforms | p. 573 |
| Mean Number of Real Zeros of a Random Trigonometric Polynomial. II | p. 581 |
| Orthogonal Polynomials of Many Variables and Degenerated Elliptic Equations | p. 595 |
| Linear Stationary Second-Degree Methods for the Solution of Large Linear Systems | p. 609 |
| A Theorem on Algebra-Valued Pseudo Polar-Derivatives | p. 631 |
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