نقوم في هذا البحث بإثبات صحة المتراجحة
علما بأن للدالة في الفضاء ، و معامل الاستمرار من الدرجة الثانية.
كما نقوم بإثبات صحة المتراجحة : من أجل أي دالة تتحقق المتراجحة
و تم اثبات صحة المبرهنة : من أجل أي عدد طبيعي تتحقق المساواة
حيث أن أحد الأقطار المعرفة في البحث
Will be proved the sharp inequality
Where for function in space second degree continuity module
will be proved the inequality : for any and
will be proved the theory : for any natural number we obtain
References used
KORNEICHUK ,N.Exact constants in approximation theory. first published,Cambridge university, Great Britain,1991 ,pp450
KOLMOGOROFF,A,N.Uber die beste Annaherung von Funktioneniner gegebenen. Funktionenklasse Annals of Math, T.37.,1936 ,pp107-111
LIANHONG,Y.; Liu YONGPING. L. Relative widths of smooth functions determined by linear differential operator . VOL.351, Journal of Mathematical Analysis and Applications,2009, pp 734-746
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