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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 | ||
| تاریخ دریافت: 13 اردیبهشت 1400، تاریخ بازنگری: 16 تیر 1400، تاریخ پذیرش: 22 مهر 1400 | ||
| 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 | ||
| مراجع | ||
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