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Best constants of harmonic approximation on classes associated with the Laplace operator |
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| Authors: | Michael I Ganzburg |
| Institution: | aDepartment of Mathematics, Hampton University, Hampton, VA 23668, USA |
| Abstract: | We compute the best constants of approximation by entire functions of spherical type and by trigonometric polynomials of spherical degree on classes of functions f satisfying the condition  ΔkfLp 1, where p=1 or 2 and Δ is the Laplace operator. |
| Keywords: | Best constants Harmonic approximation Laplace operator Trigonometric polynomials Entire functions of exponential type |
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