Approximation on the spherical cap is different from that on the sphere which requires us to construct new operators. This paper discusses the approximation on the spherical cap. That is, the so-called Jackson-type operator {Jm k,s }∞ k 1 is constructed to approximate the function defined on the spherical cap D x0, γ . We thus establish the direct and inverse inequalities and obtain saturation ...

In Beltrán and Etayo (J. Complexity 59, # 101471 (2020)) the authors presented a family of points on sphere $$\mathbb {S}^{2}$$ depending many parameters, called Diamond ensemble. this paper we compute spherical cap discrepancy ensemble as well some other quantities. We also define an area regular partition where each region contains exactly one point set. For concrete choice prove that provide...

Basaltic activity is the most common class of volcanism on Earth, characterized by magmas 12 of sufficiently low viscosities such that bubbles can move independently of the melt. Following 13 exsolution, spherical bubbles can then expand and/or coalesce to generate larger bubbles of 14 spherical-cap or Taylor bubble (slug) morphologies. Puffing and strombolian explosive activity are 15 driven b...

Basaltic activity is the most common class of volcanism on Earth, characterized by magmas of sufficiently low viscosities such that bubbles can move independently of the melt. Following exsolution, spherical bubbles can then expand and/or coalesce to generate larger bubbles of spherical-cap or Taylor bubble (slug) morphologies. Puffing and strombolian explosive activity are driven by the bursti...

the mathematical aspect of cartographic mapping is a process which establishes a unique connection between points of the earth’s sphere and their images on a plane. it was proven in differential geometry that an isometric mapping of a sphere onto a plane with all corresponding distances on both surfaces remaining identical can never be achieved since the two surfaces do not possess the same gau...