Certain linear differential operators and generalized differences |
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Authors: | A Sharma I Cimbalario |
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Institution: | 1. Alberta State University, Edmonton, Canada
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Abstract: | The solution of the problem of finding the quantity 1 $$|\vartriangle \mathop n\nolimits_{v_k }^{\sup } | \leqslant 1 1\begin{array}{*{20}c} {1nf} \\ {(k) = 1/_k } \\ {(k = 0, \pm 1. \pm 2, ...)} \\ \end{array} || /^{(n)} (x)||_C ( - \infty ,\infty )'$$ obtained by Subbotin, is extended to the case of formally self-adjoint differential operators with constant coefficients and corresponding generalized differences. |
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