uniformly convex functions
Certain subclasses of uniformly convex functions and corresponding class of starlike functions
... is uniformly convex (uniformly starlike) in U if f (z) is in CV (ST) and has the property that for every circular arc γ contained in U , with center ξ also in U , the arc f (γ) is convex ...
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A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
... [6] Jung, I. B., Kim, Y. C. and Srivastava, H. M., The hardly space of analytic functions associated with certain one-parameter families of integral transform, J. Math. Anal. Appl., 179 (1993), pp. 138-147. [7] ...
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On a Subclass of Multivalent -Uniformly Starlike and Convex Functions defined by a Linear Operator
... U ST (α, β) and U CV (α, β) are the classes of β-uniformly starlike and β-uniformly convex functions of order α, (−1 ≤ α < 1). S(α) and K(α) are the popular classes of starlike and ...
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Subordination Results for Certain Subclasses of Uniformly Starlike and Convex Functions Defined by Convolution
... [15] G. Murugusundaramoorthy and N. Magesh, Linear operators associated with a subclass of uniformly convex functions, Internat. J. Pure Appl. Math. Sci. 3, no. 2, 113-125. 2006. [16] G. ...
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Starlikeness associated with parabolic regions
... analytic functions f in the open unit disk U = { z : | z | < 1 } and let f be normalized so that f (0) = f (0) − 1 = ...of uniformly convex functions consisting of convex ...
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Neighborhoods of Starlike and Convex Functions Associated with Parabola
... 19 T. N. Shanmugam and V. Ravichandran, “Certain properties of uniformly convex functions,” in Computational Methods and Function Theory 1994 (Penang), R. M. Ali, St. Ruscheweyh, and E. B. Saff, ...
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Subclasses of α spirallike functions associated with Ruscheweyh derivatives
... , Uniformly convex functions and a corresponding class of starlike functions, Proceedings [7] of the American Mathematical Society 118 1993, no.. , On uniform starlikeness and related pr[r] ...
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Sufficiency for Gaussian hypergeometric functions to be uniformly convex
... [8] F. Rønning, Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc. 118 (1993), no. 1, 189–196. MR 93f:30017. Zbl 805.30012. [9] H. M. Srivastava ...
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Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions
... hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coe ffi cients and obtain coefficient ...
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A general solution of the Fekete-Szegö problem
... 15. Koepf, V: On the Fekete-Szegö problem for close-to-convex functions. Proc. Am. Math. Soc. 101, 89-95 (1987) 16. Koepf, W: On the Fekete-Szegö problem for close-to-convex functions II. ...
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Analytic Functions Related with Mocanu Class
... of uniformly starlike and uniformly convex functions by U ST and U CV, see ...is uniformly starlike if f maps every circular arc γ contained in ∆ with center ζ ∈ ∆ onto a starlike arc ...
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5. Certain Classes of $k$-Uniformly Close-to-Convex Functions and Other Related Functions Defined by Using the Dziok-Srivastava Operator
... close-to-convex functions and 𝑘-uniformly quasi-convex functions are defined here by using the Dziok- Srivastava ...for functions belonging to each of these classes of ...
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Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
... strictly convex and smooth Banach space such that both E and E ∗ have the Kadec-Klee ...closed convex subset of ...closed convex subset of ...
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Janowski type close to convex functions associated with conic regions
... two functions f and g analytic in E, we say that f is subordinate to g, denoted by f ≺ g , if there exists a Schwarz function w with w() = and |w(z)| < such that f (z) = ...
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Remarks on endpoints of multivalued mappings in geodesic spaces
... In particular, cosd(w, w ) = . This implies that d(w, w ) = , that is, w = w ∈ Tw. Let E be a nonempty subset of a CAT() space X such that d(u, v) < π for all u, v ∈ E. Analogously to Definition , we introduce the ...
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Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces
... Very recently, Hu 15 obtained strong convergence theorems on a mixed iteration scheme by the viscosity approximation methods for λ-strict pseudo-contractions in p- uniformly convex Banach spaces with ...
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Subclasses of uniformly starlike functions
... The subclass of uniformly starlike functions UST consists of normalized analytic function f in D such that for each in D and any arc "r in D of a circle with center at is mapped by f o[r] ...
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Convex functions
... First Set of criteria for convexity.. LISTGFHGURES Figure 1... To show that f is convex, we have to verify that the following inequality holds.. i displays a geometric interpTetatio[r] ...
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Continuity properties of projection operators
... In turn, uniform convexity of a function f at a point can be established with the help of a di ff erentiability property of its Fenchel conjugate function f ∗ given by f ∗ (x ∗ ) : = sup { x ∗ , x − f (x) : x ∈ X } . Let ...
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Vol 3, No 12 (2012)
... Srivastava, Shu-Hai Li and Huo Tang (2009): Certain classes of k-uniformly close-to-convex functions and other related functions defined by using the Dziok-Srivastava operator, Bull. So[r] ...
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