Shape preserving approximation using convex smooth piecewise polynomials for functions in $L_p$ quasi normed spaces

	Shape preserving approximation using convex smooth piecewise polynomials for functions in $L_p$ quasi normed spaces
International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3363-3370 اصل مقاله (424.22 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6096
نویسندگان
Iktifa Diaa Jaleel^* ¹؛ Eman Samir Bhaya²
¹Mathematics Department, College of Education for Pure Sciences, University of Babylon, Iraq
²Mathematics Department, College of Education for pure Sciences, University of Babylon, Babylon, Iraq
چکیده
Many papers used the algebraic polynomials to approximate functions in ${{L}}_{{p}}$ space for $0<p<1$. Few are introduced for the convex algebraic polynomials best approximation. But no one proves direct Theorems for constrained convex approximation using smooth interpolatory piecewise polynomials for functions in ${{L}}_{{p}}$, $0<p<1$. That is what we shall introduce here.
کلیدواژه‌ها
$L_p$-space؛ piecewise؛ convex approximation؛ derivative
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