The main objective of this study is to introduce a new class of 2 q -point approximating nonstationary subdivision schemes (ANSSs) by applying Lagrange-like interpolant. The theory of asymptotic equivalence is applied to find the continuity of the ANSSs. These schemes can be nicely generalized to contain local shape parameters that allow the user to locally adjust the shape of the limit curve/surface. Moreover, many existing approximating stationary subdivision schemes (ASSSs) can be obtained as nonstationary counterparts of the proposed ANSSs.

In this paper, we propose and analyze a tensor product of nine-tic B-spline subdivision scheme (SS) to reduce the execution time needed to compute the subdivision process of quad meshes. We discuss some essential features of the proposed SS such as continuity, polynomial generation, joint spectral radius, holder regularity and limit stencil. Some results of the SS using surface modeling with the help of computer programming are shown. Author Contributions: Conceptualization, A.G., M.B. and M.I.; methodology, K.S.N. and D.B.; software, A.G., S.M.H. and R.M.; validation, A.G. and K.S.N.; formal analysis, S.M.H., D.B. and R.M.; writing-original draft preparation, A.G., M.I., M.B., S.M.H. and R.M.; writing-review and editing, K.S.N. and D.B. Funding: This research received no external funding. Conflicts of Interest:The authors declare no conflict of interest.

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In this article, our main purpose is to investigate generalized integral formulas containing the extended Wright type generalized hypergeometric function. Moreover, certain special cases of the main results given here have also been pointed out for the Wright type hypergeometric function.