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• W2026708120 abstract "In this paper the discrete Sobolev inner product { p , q } = ? p ( x ) q ( x ) d µ + ? i = 0 r M i p ( i ) ( c ) q ( i ) ( c ) is considered, where µ is a finite positive Borel measure supported on an infinite subset of the real line, c ? R and ?Mi ? 0,?i = 0, 1, ?, r.Connection formulas for the orthonormal polynomials associated with {., .} are obtained. As a consequence, for a wide class of measures µ, we give the Mehler-Heine asymptotics in the case of the point c is a hard edge of the support of µ. In particular, the case of a symmetric measure µ is analyzed. Finally, some examples are presented." @default.
• W2026708120 created "2016-06-24" @default.
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• W2026708120 date "2015-06-01" @default.
• W2026708120 modified "2023-10-01" @default.
• W2026708120 title "Connection formulas for general discrete Sobolev polynomials: Mehler–Heine asymptotics" @default.
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• W2026708120 doi "https://doi.org/10.1016/j.amc.2015.03.084" @default.
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