Abstract:In this paper, a new type of ?-Bernstein operators (Bwm,?g)(w,z) and (Bzn ?g)(w,z), their Products Pmn,?g (w,z), Qnm,?g (w, z), and their Boolean
sums Smn,?g (w,z), Tnm,?g (w, z) are constructed on triangle h with
parameter ? [1,1]. Convergence theorem for Lipschitz type continuous
functions and a Voronovskaja-type asymptotic formula are studied for these
operators. Remainder terms for error evaluation by using the modulus of
continuity are discussed. Graphical representations are added to demon… Show more
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