Contents V.2, N.2, 2011

  • ON THE BEST POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OFMANY REAL VARIABLES FROM THE SOBOLEV SPACE WITHDERIVATIVES OF BOUNDED VARIATION
    A. KHATAMOV (pp. 236-246)

    • Abstract.

    The paper is devoted to estimates of the best joint polynomial approximations inuniform and integral metrics on a given bounded convex domain of the functions of many realvariables (FMRV) either with convex derivatives of a certain order or from the seminormalizedSobolev space with derivatives of a certain order of bounded variationş

    Keywords:

    exact estimates, best joint polynomial approximation, function in many real vari-ables, seminormalized Sobolev space, derivatives of bounded variationş

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