A Refinement of Schwarz’s Lemma and its Applications
Journal Title: Journal of Mathematics and Applications - Year 2016, Vol 39, Issue
Abstract
By using the value of the second derivative of the function at 0, along with the values of the function and its first derivative at 0, we have obtained a refinement of well known Schwarz’s lemma and have used this refinement to obtain refinements, of Aziz and Rather’s inequalities [2004] for a polynomial of degree n having no zeros in |z| < k, (k ≥ 1).
Authors and Affiliations
V. K. Jain
Keywords
Related Articles
- EP ID EP342534
- DOI 10.7862/rf.2016.5
- Views 106
- Downloads 0
FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces
In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property.
On Regulated Functions
The main purpose of this review article is to present the concept of a regulated function and to indicate the connection of the class of regulated functions with other significant classes of functions. In particular, we...
Some results on 2-absorbing ideals in commutative semirings
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of r...
Approximate controllability of the impulsive semilinear heat equation
In this paper we apply Rothe’s Fixed Point Theorem to prove the interior approximate controllability of the following semilinear impulsive Heat Equation [formula], where k = 1,2,...,p, Ω is a bounded domain in R^N (N ≥ 1...
Approximation by Szász Type Operators Including Sheffer Polynomials
In present article, we discuss voronowskaya type theorem, weighted approximation in terms of weighted modulus of continuity for Szász type operators using Sheffer polynomials. Lastly, we investigate statistical approxima...