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Abstract Following the ideas of Frontini and Sormani, we present a modified Newton method in Banach space which is used to solve the nonlinear operator equation. We establish the Newton–Kantorovich… (More)
Abstract In this study, under p -Holder continuity conditions a family of new modified Halley’s method with (2 + p )-order is proposed in Banach space which is used to solve the nonlinear operator… (More)
Abstract Under the γ condition, we establish the convergence theorem of a family deformed Chebyshev method in Banach space which is used to solve the nonlinear operator equation. Finally, two… (More)
We establish the Newton-Kantorovich convergence theorem for a deformed Newton's method in Banach space under γ-condition, which is used to solve the nonlinear equation. We also present the error… (More)
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The… (More)
A Newton-Kantorovich convergence theorem of a new modified Halley’s method family is established in a Banach space to solve nonlinear operator equations. We also present the main results to reveal… (More)
• CuO-CoO-MnO/SiO 2 nanocomposite aerogel prepared via ethanol SCD technique shows lower transition metals loss compared with that of via CO 2 SCD technique.
CuO-CoO-MnO/SiO2 nanocomposite aerogels were prepared by using tetraethyl orthosilicate (TEOS) as Si source, and aqueous solution of Cu, Co and Mn acetates as transition metal sources via solgel… (More)
Abstract Yttrium doped strontium titanate with A-site deficiency ((Y 0.08 Sr 0.92 ) 1 − x TiO 3 − δ ) was synthesized by conventional solid state reaction. The deficiency limit of A-site in (Y 0.08… (More)
We introduce a parameter z for the well-known Wallis’ inequality, and improve results on Wallis’ inequality are proposed. Recent results by other authors are also improved.