vResearch Article Coefficient Bounds for Certain Classes of Meromorphic Functions" doc

... Sivasubramanian, “A coefficient inequality for certain classes of analytic functions of complex order,” Journal of Inequalities in Pure and Applied Mathematics,vol.7,no. 4, article 145, pp. 1–6, 2006. 12 ... part in Δ, then for any complex number μ,   c 2 − μc 2 1   ≤ 2 max  1, |1 − 2μ|  . 1.8 2. Coefficient bounds By making use of Lemma 1.3, we prove the followin...

Ngày tải lên: 22/06/2014, 03:20

... Corporation Journal of Inequalities and Applications Volume 2009, Article ID 147069, 12 pages doi:10.1155/2009/147069 Research Article Inclusion Properties for Certain Classes of Meromorphic Functions ... purpose of the present paper is to investigate some inclusion properties of certain classes of meromorphic functions associated with a family of linear operator...

Ngày tải lên: 21/06/2014, 20:20

... Therefore, we obtain b 2n−1   B p ; L p  ≤ λ n p, p, G. The proof of Lemma 3.5 is complete. Proof of theorem Now, we consider the proof of Theorem 1.3. Proof. By Lemma 3.5,ifG is B-kernel, for ... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 451815, 11 pages doi:10.1155/2008/451815 Research Article Exact Values of Bernstein n-Widths for S...

Ngày tải lên: 22/06/2014, 03:20

... pages doi:10.1155/2010/898109 Research Article Coincidence Theorems for Certain Classes of Hybrid Contractions S. L. Singh and S. N. Mishra Department of Mathematics, School of Mathematical & Computational ... d  y, Px  2  3.28 for all x, y ∈ X. Then P has a unique fixed point. Proof. For λ ∈ 0, 1, define a single-valued map f : X → X as follows. For each x ∈ X, l...

Ngày tải lên: 21/06/2014, 20:20

... Inequalities and Applications Volume 2010, Article ID 619423, 10 pages doi:10.1155/2010/619423 Research Article Gr ¨ uss-Type Bounds for the Covariance of Transformed Random Variables Mart ´ ın Egozcue, 1, ... the context of dependent random variables, in the present paper we offer a tighter Gr ¨ uss-type bound for the covariance of two transformed random variables by incorpora...

Ngày tải lên: 21/06/2014, 18:20

... 1979. Journal of Inequalities and Applications 3 Therefore, considering the application of the trace bounds, many scholars pay much attention to estimate the trace bounds for the product of two matrices. Marshall ... particularly as the dimensions of the system matrices increase. Thus, a number of works have been presented by researchers to evaluate the bounds and trace boun...

Ngày tải lên: 22/06/2014, 02:20

... Applications Volume 2008, Article ID 894529, 8 pages doi:10.1155/2008/894529 Research Article Exact Values of Bernstein n-Widths for Some Classes of Periodic Functions with Formal Self-Adjoint Linear ... “Exact values of widths for some classes of periodic functions,” East Journal on Approximations, vol. 4, no. 1, pp. 35–54, 1998. 6 N. T. T. Hoa, Optimal quadrature formu...

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... Corporation Journal of Inequalities and Applications Volume 2007, Article ID 51079, 10 pages doi:10.1155/2007/51079 Research Article Inclusion Properties for Certain Subclasses of Analytic Functions Associated ... (U) ⊂ g(U). For 0 ≤ η, β<1, we denote by ᏿ ∗ (η), ᏷(η), and Ꮿ(η, β) the subclasses of Ꮽ consisting of all analytic functions which are, respectively, starlike...

Ngày tải lên: 22/06/2014, 18:20

... class K s . The proof of our result is based on the following version of a lemma of Stankie- wicz [12]. Lemma 1 Let F(z, t) be analytic in for each t Î (0, Î), F(z,0)=f(z), f ∈ S and F (0, t)= 0for each ... this article as: Cho et al.: Coefficient, distortion and growth inequalities for certain close-to-convex functions. Journal of Inequalities and Applications 2011 2011:100....

Ngày tải lên: 20/06/2014, 22:20

... L p bounds independent of the coefficients of the polynomial P. A special class of radial weights that have received a considerable amount of attention is the class of power weights |x| α . For ... independent of Ω, k,and j.Hence,(2.14)followsby(2.16)and(2.19). This completes the proof.  3. Proof of Theorem 1.1 Proof of Theorem 1.1. We will argue by induction on the degree...

Ngày tải lên: 22/06/2014, 22:20