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Telescoping estimates for smooth series

  • Karl Joachim Wirths,
    Institut für Analysis und Algebra , TU Braunschweig , 38106 Braunschweig , Germany
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Abstract

We derive telescoping majorants and minorants for some classes of series and give applications of these results.
Keywords: telescoping series, Stietjes constant, Hardy's formula, Stirling's formula telescoping series, Stietjes constant, Hardy's formula, Stirling's formula
MSC Classifications: 26D15, 40A25, 97I30 show english descriptions Inequalities for sums, series and integrals
Approximation to limiting values (summation of series, etc.) {For the Euler-Maclaurin summation formula, see 65B15}
Sequences and series
26D15 - Inequalities for sums, series and integrals
40A25 - Approximation to limiting values (summation of series, etc.) {For the Euler-Maclaurin summation formula, see 65B15}
97I30 - Sequences and series
 

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