Kasana, H. S.; Kumar, D. On polynomial approximation of entire functions with index-pair \((p,q)\). (English) Zbl 1064.30034 Rend. Ist. Mat. Univ. Trieste 35, No. 1-2, 49-59 (2003). Let \(C (E)\) be the algebra of analytic function on the set \(E.\) The authors have characterized \((p, q)\)-order and lower \((p, q)\)-type in terms of approximation errors. They have given the conditions for \(f \in C (E)\) to be extended to an entire function of regular \((p, q)\)-growth with respect to a proximate order. Reviewer: Polina Z. Agranovich (Khar’kov) Cited in 1 Document MSC: 30E10 Approximation in the complex plane 30D20 Entire functions of one complex variable (general theory) 52A38 Length, area, volume and convex sets (aspects of convex geometry) Keywords:extremal polynomial; Lagrange interpolation polynomial; index-pair; proximate order PDFBibTeX XMLCite \textit{H. S. Kasana} and \textit{D. Kumar}, Rend. Ist. Mat. Univ. Trieste 35, No. 1--2, 49--59 (2003; Zbl 1064.30034)