Superdense unbounded divergence of a class of interpolatory product quadrature formulas
Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary
Keywords:
Superdense set, unbounded divergence, product quadrature formulas, Dini-Lipschitz convergence.Abstract
Abstract. The aim of this paper is to highlight the superdense unbounded divergence of a class of product quadrature formulas of interpolatory type on Jacobi nodes, associated to the Banach space of all real continuous functions defined on [-1; 1], and to a Banach space of measurable and essentially bounded functions g : [-1; 1] ! R. Some aspects regarding the convergence of these formulas are pointed out, too.
Mathematics Subject Classification (2010): 41A10, 65D32.
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