Shi, Ying Guang On Christoffel type functions for \(L_m\) extremal polynomials. II. (English) Zbl 0988.41016 J. Approximation Theory 111, No. 1, 59-80 (2001). Reviewer: Luigi Gatteschi (Torino) MSC: 41A50 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Ying Guang On Christoffel type functions for \(L_m\) extremal polynomials. I. (English) Zbl 0947.41021 J. Approximation Theory 103, No. 2, 281-291 (2000). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Ying Guang On Gaussian quadrature formulas for the Chebyshev weight. (English) Zbl 0921.41013 J. Approximation Theory 98, No. 1, 183-195 (1999). Reviewer: Paninjukunnath Achuthan (Madras) MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Ying Guang A minimax problem admitting the equioscillation characterization of Bernstein and Erdös. (English) Zbl 0903.41013 J. Approximation Theory 92, No. 3, 463-471 (1998). Reviewer: J.Illán González (Vigo) MSC: 41A50 41A52 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Ying Guang Optimal Lebesgue function type sums. (English) Zbl 0907.41003 Acta Math. Hung. 77, No. 4, 287-300 (1997). Reviewer: Manfred Tasche (Rostock) MSC: 41A05 41A44 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yingguang \(L_ p\) \((1\leq p\leq\infty)\) approximation by an \(n\)-dimensional subspace on a set of \(n+1\) points. (English) Zbl 0792.41025 Acta Math. Sci. 13, No. 4, 430-436 (1993). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF
Shi, Yingguang On problem 24 of P. Turán. II. (English) Zbl 0777.41002 J. Math. Res. Expo. 13, No. 1, 55-60 (1993). MSC: 41A05 41A20 42C05 × Cite Format Result Cite Review PDF
Shi, Yingguang; Dunham, C. B. Application of Chebyshev sets to multiproducts. (English) Zbl 0769.41026 Approximation Theory Appl. 9, No. 1, 76-81 (1993). MSC: 41A50 × Cite Format Result Cite Review PDF
Shi, Ying Guang The Chebyshev theory of a variation of \(L\) approximation. (English) Zbl 0745.41031 J. Approximation Theory 67, No. 3, 239-251 (1991). Reviewer: W.Plesniak (Kraków) MSC: 41A50 41A65 41A30 41A45 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Zhiwei; Shi, Yingguang A variation of rational \(L_ 1\) approximation. (English) Zbl 0729.41018 J. Approximation Theory 62, No. 2, 262-273 (1990). Reviewer: M.G.de Bruin (Haarlem) MSC: 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yingguang Chebyshev approximation by an \(n\)-dimensional subspace on a set of \(n+1\) points. (English) Zbl 0715.41039 Approximation Theory Appl. 5, No. 3, 1-4 (1989). MSC: 41A50 41A65 × Cite Format Result Cite Review PDF
Shi, Yingguang A class of functions having the same best approximation for all \(L_ p\) norms (1\(\leq p\leq \infty)\). (English) Zbl 0684.41019 Approximation Theory Appl. 5, No. 1, 69-72 (1989). MSC: 41A50 41A30 × Cite Format Result Cite Review PDF
Shi, Yingguang A generalized Chebyshev theory. (English) Zbl 0683.41033 Approximation Theory Appl. 5, No. 2, 93-98 (1989). Reviewer: Guanglu Zhang MSC: 41A50 41A65 41A45 × Cite Format Result Cite Review PDF
Shi, Yingguang Uniqueness of best L approximation for continuous functions. (English) Zbl 0709.41022 J. Math. Res. Expo. 8, No. 2, 261-265 (1988). Reviewer: D.Wulbert MSC: 41A50 41A52 × Cite Format Result Cite Review PDF
Shi, Yingguang The modified L approximation theory. (English) Zbl 0671.41018 Approximation Theory Appl. 4, No. 3, 109-119 (1988). Reviewer: G.D.Taylor MSC: 41A50 × Cite Format Result Cite Review PDF
Shi, Yingguang The limits of a Chebyshev-type theory of restricted range approximation. (English) Zbl 0646.41024 J. Approximation Theory 53, No. 1, 41-53 (1988). Reviewer: M.Nashed MSC: 41A65 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yingguang Uniqueness of best L approximation from a convex set for continuous functions. (English) Zbl 0594.41015 Approximation Theory Appl. 2, No. 1, 19-27 (1986). MSC: 41A52 × Cite Format Result Cite Review PDF
Shi, Yingguang Cardinalities of restricted ranges. II. (English) Zbl 0601.41038 J. Comput. Math. 2, 37-40 (1984). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF
Shi, Ying Guang On simultaneous best \(L_ 1\) approximations in C[-1,1]. (English) Zbl 0533.41018 J. Approximation Theory 40, 285-291 (1984). MSC: 41A28 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Ying Guang On a problem of Rivlin in \(L_ p (1<p<\infty)\) approximation. (English) Zbl 0533.41017 J. Approximation Theory 40, 242-245 (1984). MSC: 41A28 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Dunham, Charles B.; Shi, Y. G. Chebyshev approximation by exponential differences. (English) Zbl 0532.41035 J. Approximation Theory 40, 193-195 (1984). MSC: 41A50 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yingguang Constrained rational approximation. (English) Zbl 0518.41016 Chin. Ann. Math., Ser. B 5, 141-143 (1984). MSC: 41A29 41A20 41A50 41A52 × Cite Format Result Cite Review PDF
Shi, Ying-Guang On the existence of functions with prescribed best \(L_ 1\) approximations. (English) Zbl 0547.41025 J. Comput. Math. 1, 341-345 (1983). Reviewer: D.Wulbert MSC: 41A50 × Cite Format Result Cite Review PDF
Shi, Ying-guang L approximation by functions having restricted ranges. (Chinese) Zbl 0513.41018 Acta Math. Appl. Sin. 6, 135-141 (1983). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF
Shi, Ying-guang Simultaneous Chebyshev approximation. (Chinese) Zbl 0513.41009 Math. Numer. Sin. 5, 60-65 (1983). MSC: 41A28 41A50 × Cite Format Result Cite Review PDF
Shi, Yingguang Chebyshev approximation by linear alternating families with fixed values at nodes. (English) Zbl 0511.41032 Chin. Ann. Math., Ser. B 4, 227-230 (1983). MSC: 41A50 × Cite Format Result Cite Review PDF
Shi, Ying Guang On a problem of Rivlin in \(L_ 1 \)approximation. (English) Zbl 0508.41018 J. Approximation Theory 37, 103-107 (1983). MSC: 41A28 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Ying-guang Quasi-convex functions and the Chebyshev approximation. (Chinese) Zbl 0515.41030 Math. Numer. Sin. 4, 409-416 (1982). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF
Shi, Ying-guang L approximation by polynomials having bounded coefficients. (Chinese) Zbl 0513.41001 Acta Math. Appl. Sin. 5, 186-189 (1982). MSC: 41A10 41A50 × Cite Format Result Cite Review PDF
Shi, Ying-guang Uniform approximation by generalized polynomials having bounded coefficients. (Chinese) Zbl 0512.41004 Acta Math. Appl. Sin. 5, 353-356 (1982). MSC: 41A10 41A50 × Cite Format Result Cite Review PDF
Shi, Yingguang A kind of best approximation using function pairs. (Chinese) Zbl 0498.41016 Chin. Ann. Math. 3, 639-644 (1982). MSC: 41A50 41A65 × Cite Format Result Cite Review PDF
Shi, Ying Guang A minimax problem using generalized rational functions. (English) Zbl 0492.49011 J. Approximation Theory 36, 173-180 (1982). MSC: 49K35 41A20 41A28 41A52 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yingguang Uniqueness of simultaneous best L approximation of a compact set. (Chinese) Zbl 0491.41033 Acta Math. Sin. 24, 372-377 (1981). MSC: 41A52 41A28 × Cite Format Result Cite Review PDF
Shi, Yingguang The uniqueness of simultaneous best Lp approximation. (English) Zbl 0488.41027 Acta Math. Sin. 24, 211-216 (1981). MSC: 41A52 41A50 41A65 × Cite Format Result Cite Review PDF
Shi, Yingguang Minimization and best approximation. (Chinese) Zbl 0481.41023 Chin. Ann. Math. 2, 225-231 (1981). MSC: 41A50 × Cite Format Result Cite Review PDF
Shi, Ying-Guang Weighted simultaneous Chebyshev approximation. (English) Zbl 0475.41028 J. Approximation Theory 32, 306-315 (1981). MSC: 41A50 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Ying-guang On a theorem of J. T. Lewis. (English) Zbl 0468.41021 Math. Numer. Sin. 3, 266-267 (1981). MSC: 41A65 41A50 41A29 41A05 × Cite Format Result Cite Review PDF
Shi, Yingguang Simultaneous best rational approximation. (Chinese) Zbl 0466.41006 Chin. Ann. Math. 1, 477-484 (1980). MSC: 41A20 41A50 × Cite Format Result Cite Review PDF
Shi, Yingguang Best optimal simultaneous \(L_ p\) approximation. (Chinese) Zbl 0465.41005 Chin. Ann. Math. 1, 235-244 (1980). MSC: 41A28 41A50 41A65 × Cite Format Result Cite Review PDF
Shi, Ying-guang L approximation by generalized polynomials having bounded coefficients. (Chinese) Zbl 0453.41006 Math. Numer. Sin. 2, 375-378 (1980). MSC: 41A10 41A65 41A50 × Cite Format Result Cite Review PDF