We derive L 1 bounds for norms of projections onto bivariate polynomial spline spaces on regular triangulations with stable local bases. We then apply this result to derive error bounds for best L 2-and`2-approximation by splines on quasi-uniform triangulations. x1. Introduction Let X L 1 (() be a linear space deened a set with polygonal boundary. Suppose hh; i is a semi-deenite inner-product o...

and Applied Analysis 3 was studied by Verma 14 . He defined the numerical range VL T of a nonlinear operator T , as VL T : { Tx, x [ Tx − Ty, x − y ‖x‖ ∥x − y∥2 : x, y ∈ D T , x / y } . 1.3 He used this concept to solve the operator equation Tx−λx y, where T is a nonlinear operator. This paper is concerned with the numerical range in a Banach space. Nanda 15 studied the numerical range for two ...

The aim of this paper is to provide a suitable definition for the concept fuzzy inner product space. In order achieve this, we firstly focused on various approaches from already-existent literature. Due emergence studies spaces, it necessary make comprehensive overview published papers aforementioned subject in facilitate subsequent research. Then considered another approach notion starting P. ...