Frontiers in Interpolation and Approximation

N. K. Govil, H. N. Mhaskar, Ram N. Mohapatra, Zuhair Nashed, J. Szabados

• Markov-Type Inequalities for Homogeneous Polynomials on Nonsymmetric Star-Like Domains. Local Inequalities for Multivariate Polynomials and Plurisubharmonic Functions. The Norm of an Interpolation Operator on H8(D). Sharma and Interpolation. Freeness of Spline Modules from a Divided to a Subdivided Domain. Measures of Smoothness on the Sphere. Quadrature Formulae of Maximal Trigonometric Degree of Precision. Inequalities for Exponential Sums via Interpolation and Tur´an-Type Reverse Markov Inequalities. Asymptotic Optimality in Time-Frequency Localization of ScalingFunctions and Wavelets. Interpolation by Polynomials and Transcendental Entire Functions. Hyperinterpolation on the Sphere. Lagrange Interpolation at Lacunary Roots of Unity. A Fast Algorithm for Spherical Basis Approximation. Direct and Converse Polynomial Approximation Theorems on the Real Line with Weights having Zeros. Fourier Sums and Lagrange Interpolation on (0,+8) and(-8,+8). On Bounded Interpolatory and Quasi-Interpolatory Polynomial Operators. Hausdorff Strong Uniqueness in Simultaneous Approximation, Part II. Zeros of Polynomials Given as an Orthogonal Expansion. Uniqueness of Tchebycheff Spaces and their Ideal Relatives.