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A generalization of the monotonicity condition and applications
Authors:D. S. Yu  S. P. Zhou
Affiliation:(1) Institute of Mathematics, Zhejiang Sci-Tech University, Xiasha Economic Development Area, Hangzhou, Zhejiang, 310018, China;(2) Department of Mathematics, Hangzhou Teacher’s College, Hangzhou, Zhejiang, 310036, China
Abstract:We introduce a new class of sequences called NBVS to generalize GBVS, essentially extending monotonicity from “one sided” to “two sided”, while some important classical results keep true. Supported in part by Natural Science Foundation of China under grant number 10471130.
Keywords:  KeywordHeading"  > and phrases NBVS  trigonometric series  uniform convergence   L 1-convergence  best approximation
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