درسنا في هذا البحث بعض خواص أسرة واسعة من المنحنيات و التي تسمى k- منحنيات، و التي تعرف من خلال : وجود علاقة بين أطوال الأقواس و الأوتار التي تصل بين أية نقطتين منها بشكل خاص درسنا تأثير بعض التحويلات في منحنيات هذه الأسرة و من ثم درسنا تقريب صف دوال هولدر الموزن المعرفة على أسرة المنحنيات – k.
We study in this research some properties of wide class of curves, called k-curves, which is defined by a relation existing between arches and chords connecting any two arbitrary points on it
Especially we study the effect of some mappes on the curves of this class.
Then we study the approximation of weighted Holder class of function on k-curves.
References used
Bruj.Best Approximation and saturation on domains of bounded rotation. Journal of Approximation theory ,100,1999,157-182
Andrievskii,V,V.Weighted polynomial inequalities with doubling weighted on quasismoth arc. Acta mathematica Hungarica . vol 135.no 1-2.2012. 8-23
Mamedkhanov,M,J . Dadashova ,I,B.Rational Approximation on closed curves. Applied Mathematics 2(3),2012, 90-93
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We fi
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