The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precis...
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The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise,we investigate such connections with the classes of analytic univalent functions of beta-starlike and beta-uniformly convex functions of order a in the open unit disk U. Further we point out some consequences of our main results.
We say that a class F consisting of analytic functions f (z) = E-n=0 infinity a(n)z(n) in the unit disk D := {z E C : vertical bar z vertical bar < 1} satisfies a Bohr phenomenon if there exists r(f) is an element ...
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We say that a class F consisting of analytic functions f (z) = E-n=0 infinity a(n)z(n) in the unit disk D := {z E C : vertical bar z vertical bar < 1} satisfies a Bohr phenomenon if there exists r(f) is an element of (0, 1) such that Sigma(infinity)(n=1) vertical bar a(n)z(n)vertical bar <= d(f (0) partial derivative f (D)) for every function f is an element of F and 1 vertical bar z vertical bar = r <= r(f), where d is the Euclidean distance. The largest radius r(f) is the Bohr radius for the class F. In this paper, we establish the Bohr phenomenon for the classes consisting of Ma-Minda type starlike functions and Ma-Minda type convexfunctions as well as for the class of starlike functions with respect to a boundary point. (c) 2020 Elsevier Inc. All rights reserved.
The problem that we consider is whether or under what conditions sequences generated in reflexive Banach spaces by cyclic Bregman projections on finitely many closed convex subsets Q(i) with nonempty intersection conv...
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The problem that we consider is whether or under what conditions sequences generated in reflexive Banach spaces by cyclic Bregman projections on finitely many closed convex subsets Q(i) with nonempty intersection converge to common points of the given sets.
Let A be the class of functions f : f (z) = z + Sigma(infinity)(n=2) a(n)z(n), which are analytic in the open unit disc E. We use a linear operator closely related to the multiplier transformation to introduce and inv...
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Let A be the class of functions f : f (z) = z + Sigma(infinity)(n=2) a(n)z(n), which are analytic in the open unit disc E. We use a linear operator closely related to the multiplier transformation to introduce and investigate certain subclasses of A which map E onto a generalized form of the conic domain. Several properties of these classes including some inclusion relations, convolution and other class preserving operators are studied. In particular, we derive many known and new results as special cases. Applications of some results are also given. (C) 2011 Elsevier Ltd. All rights reserved.
In this paper, we find the necessary and sufficient conditions for functions zF(a, b;c;z) in the generalized class of beta uniformly starlike and beta uniformly convex functions of order alpha and also consequences of...
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In this paper, we find the necessary and sufficient conditions for functions zF(a, b;c;z) in the generalized class of beta uniformly starlike and beta uniformly convex functions of order alpha and also consequences of the results are pointed out. (C) 2010 Elsevier Ltd. All rights reserved.
By making use of tools from convex analysis, we formulate an inexact Newton-Landweber iteration method for solving nonlinear inverse problems in Banach spaces. The method consists of two components: an outer Newton it...
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By making use of tools from convex analysis, we formulate an inexact Newton-Landweber iteration method for solving nonlinear inverse problems in Banach spaces. The method consists of two components: an outer Newton iteration and an inner scheme. The inner scheme provides increments by applying Landweber iteration with nonsmooth uniformlyconvex penalty terms to local linearized equations. The outer iteration is then terminated by the discrepancy principle. Detailed convergence analysis is present under standard conditions on the nonlinearity. Finally, numerical simulations are reported to test the performance of the method.
In this paper the authors prove some properties for two general integral operators on the classes beta - UCV(alpha) and beta - s(p)(alpha). (C) 2010 Elsevier Ltd. All rights reserved.
In this paper the authors prove some properties for two general integral operators on the classes beta - UCV(alpha) and beta - s(p)(alpha). (C) 2010 Elsevier Ltd. All rights reserved.
The widely known hermite-hadamard-Fejer type inequalities are so important in the field of mathematical analysis. Many researchers have studied on these inequalities. In this paper, we have obtained several inequaliti...
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The widely known hermite-hadamard-Fejer type inequalities are so important in the field of mathematical analysis. Many researchers have studied on these inequalities. In this paper, we have obtained several inequalities related to the Hermite-Hadamard inequality for a special class of the functions called uniformly convex functions. We have also presented applications of these obtained inequalities in some error estimates for higher moments of random variables.
For 0 0) for n = 3 are obtained. Also a class of functions related to Caratheodory functions is considered. (C) 2014 Mathematical Institute Slovak Academy of Sciences
For 0 <= alpha < 1, the sharp radii of starlikeness and convexity of order a for functions of the form f(z) = z + a(2)z(2) + a(3)z(3) + ... whose Taylor coefficients an satisfy the conditions vertical bar a(2)vertical bar = 2b, 0 <= b <= 1, and vertical bar a(n)vertical bar <= n, M or M/n (M > 0) for n = 3 are obtained. Also a class of functions related to Caratheodory functions is considered. (C) 2014 Mathematical Institute Slovak Academy of Sciences
The purpose of the present paper is to introduce and investigate the function classes k-SP (alpha, beta) and k-UCV (alpha, beta) of analytic functions associated with conic regions in the open unit disk U, which gener...
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The purpose of the present paper is to introduce and investigate the function classes k-SP (alpha, beta) and k-UCV (alpha, beta) of analytic functions associated with conic regions in the open unit disk U, which generalize the function classes defined and studied in a series of earlier papers by Kanas et al. [11, 12, 13, 14]. In particular, we consider the extremal problems for each of the above-mentioned function classes. The Fekete-Szego problem is also considered for functions in the class k-SP(alpha, beta). Moreover, we investigate some mapping properties for each of the function classes k-SP(alpha, beta) and k-UCV(alpha, beta).
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