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
Weak Solutions of Fractional Order Differential Equations via Volterra-Stieltjes Integral Operator
The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21])...
On Maximum Induced Matching Numbers of Special Grids
A subset M of the edge set of a graph G is an induced matching of G if given any two edges e1, e2 ∈ M, none of the vertices on e1 is adjacent to any of the vertices on e2. Suppose that Max(G), a positive integer, denotes...
About a Class of Analytic Functions Defined by Noor-Sǎlǎgean Integral Operator
In this paper we introduce a new integral operator as the convolution of the Noor and Sălăgean integral operators. With this integral operator we define the class C_{NS}(α), where α∈[0,1) and we study some properties of...
Starlikeness and convexity of certain integral operators defined by convolution
We define two new general integral operators for certain analytic functions in the unit disc U and give some sufficient conditions for these integral operators on some subclasses of analytic functions.
On Some L_r-Biharmonic Euclidean Hypersurfaces
In decade eighty, Bang-Yen Chen introduced the concept of biharmonic hypersurface in the Euclidean space. An isometrically immersed hypersurface x : M^n → E^{n+1} is said to be biharmonic if ∆^2x = 0, where ∆ is the Lapl...