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Spherical Shepard-Bernoulli operator

AbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…

Refinement of some inequalities for means

Abstract We consider weighted arithmetic means as, for example \(\alpha G+\left(1-\alpha \right) C\), with \(\alpha \in \left( 0,1\right) ,GC\) being…