Strong Inequalities for Weighted Approximation by Hermite–Fejér Interpolation
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DOI: 10.1007/s00025-020-1162-0
Abstract: We study Hermite–Fejér interpolation operators in spaces of weighted maximum norm, whose nodes are the zeros of Jacobi polynomials with indexes $$\alpha , \beta >-1$$ α , β > - 1 . The approximation behaviour… read more here.
Keywords: approximation; fej interpolation; strong inequalities; hermite fej ... See more keywords
On Kedlaya-type inequalities for weighted means
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DOI: 10.1186/s13660-018-1685-z
Abstract: AbstractIn 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean M$\mathscr{M}$ the Kedlaya-type inequality A(x1,M(x1,x2),…,M(x1,…,xn))≤M(x1,A(x1,x2),…,A(x1,…,xn))$$ \mathscr{A} \bigl(x_{1},\mathscr{M}(x_{1},x_{2}), \ldots,\mathscr{M}(x _{1},\ldots,x_{n}) \bigr) \le \mathscr{M} \bigl( x_{1}, \mathscr{A}(x _{1},x_{2}), \ldots,\mathscr{A}(x_{1},\ldots,x_{n}) \bigr) $$ holds for… read more here.
Keywords: kedlaya type; weighted means; inequalities weighted; mathscr ldots ... See more keywords