... ApplicationsVolume 2011, Article ID 592840, 9 pagesdoi:10.1155/2011/592840Research Article Some New Double Sequence Spaces De ned byOrlicz Function in n-Normed SpaceEkrem Savas¸Department of Mathematics, ... ·, · denotes inner product. Let X, ·, ,· be an n-normed space of dimension d ≥n and {a1,a2, ,an} a linearly independent set in X. Then, the function ·, ·∞on Xn−1is de ned byx1,x2, ... coordinate vectors is bounded,” Canadian Journalof Mathematics. Journal Canadien de Math´ematiques, vol. 25, pp. 973–978, 1973.14 I. J. Maddox, “Sequence spaces de ned by a modulus,” Mathematical...
... pagesdoi:10.1155/2010/897279Research Article On The Frobenius Condition Number ofPositive De nite MatricesRamazan T¨urkmen and Z¨ubeyde Uluk¨okDepartment of Mathematics, Science Faculty, ... bounds for the Frobenius condition number of a positive de nite matrixdepending on trace, determinant, and Frobenius norm of a positive de nite matrix and comparethese results with other results. ... positive de nite matrices by consideringinequalities given for inner product space in this section.2. Main ResultsTheorem 2.1. Let A be positive de nite real matrix. Then2tr Adet A1/n−...
... ApplicationsVolume 2009, Article ID 807943, 12 pagesdoi:10.1155/2009/807943Research Article Univalence of Certain Linear Operators De ned byHypergeometric FunctionR. Aghalary and A. EbadianDepartment ... This is an open access article distributed underthe Creative Commons Attribution License, which permits unrestricted use, distribution, andreproduction in any medium, provided the original work ... functions is denoted by S∗: S∗0. For α<1, we de neS∗αf ∈A:Rezfzfz>α,z∈ D, 1.2and it is called the class of all starlike functions of order α. Clearly,...
... PRN code rateis higher than data symbol rate which divides the energy ofa data symbol to a wider bandwidth. The used PRN codesare unique to each transmitter and thus transmitter can beidentified ... during the following decade[4]. The GPS modernization program [5] introduces addi-tional signals with new codes and modulation. Realiza-tion of the new navigation s ystems and modernization ofGPS ... “International system providers meeting (ICG-3) reflects GNSS’s competing interest, cooperative objectives,”Inside GNSS, December 2008.[5] U. S. Airforce, “GPS Modernization Fact Sheet,” 2006,http://pnt.gov/public/docs/2006/modernization.pdf.[6]...
... and ApplicationsVolume 2008, Article ID 280183, 5 pagesdoi:10.1155/2008/280183Research Article The Radius of Starlikeness of the CertainClassesofp-ValentFunctionsDefinedbyMultiplier TransformationsMugur ... This is an open access article distributed under the CreativeCommons Attribution License, which permits unrestricted use, distribution, and reproduction inany medium, provided the original work ... znφz1.4for some functions wz ∈ Ωn and every z ∈D. De nition 1.1. Let fz ∈Ap, n for m ∈N0 N ∪{0}, λ ≥ 0, l>0, one de nes the multipliertransformations Ipm, λ, l on Ap,...
... HRR test demonstrated 18protan defectives showing a mild degree in 2, a medium de- gree in 7, and a severe degree in 9; 19 deutan defectives show-ing a medium degree in 4 and a severe degree ... protandefectives, 21 deutan defectives, and 3 unclassified subjects,while the CHT showed 18 protan defectives, 19 deutan de- fectives, and 5 unclassified color defectives. As the severity ofdegrees ... on the CHT isthat color vision would be linearly degraded according to de- ficiency degree. Since the de ciency degree in the standard-ized CVD description is linearly measured, this observationis...
... MFCCs,their delta, and a delta energy were used to train gender-independent acoustic model. Phones were represented ascontext-dependent, 3-state, left-to-right hidden Markovmodels (HMMs). ... 6,and7 concludes the paper.2. ADAPTATION METHODOur method involves adapting a task-dependent LM that iscreated from a sparse amount of text using a large translatedtext (TRT), where TRT denotes ... Music ProcessingVolume 2008, Article ID 573832, 7 pagesdoi:10.1155/2008/573832Research Article Language Model Adaptation Using Machine-TranslatedText for Resource -De cient LanguagesArnar Thor...
... null, bounded, bounded statisticallyconvergent, and bounded statistically null sequences, respectively. The zero sequence isdenoted byθ θ,θ,θ, , where θ is the zero element of X.The idea of ... 26 August 2009Recommended by Andrei VolodinWe de ne generalized paranormed sequence spacescσ, M, p, q, s, c0σ, M, p, q, s, mσ, M, p, q,s,andm0σ, M, p, q, s de ned over a seminormed ... someinclusion relations between these spaces under some conditions.Copyright q 2009 M. Bas¸arir and S. Altunda˘g. This is an open access article distributed underthe Creative Commons Attribution License,...
... system, the predictive model developed in 1 has been shown to beuseful tool understanding the feasible limits of the wall thickness control. A more accuratepredictive model would require an increase ... Inequalities and Applications 15Therefore, r∗ de ned by 3.14 satisfies r∗<m·Rgi.Inordertoshowthatzr∗− 0tanπ/2 − αg we remark that from the de nition3.14 of r∗it follows that ... Journal of Inequalities and Applicationsconstant curvature, and a meniscus dynamics model is developed to consider meniscusshape and its dynamics, heat and mass transfer around the die-top and...
... TurkeyCorrespondence should be addressed to Serap Bulut, serap.bulut@kocaeli.edu.trReceived 8 December 2008; Accepted 22 January 2009Recommended by Narendra Kumar GovilWe de ne a new general ... operator.Remark 1.6. In De nition 1.5,ifweseti λ 1, then we have 7, De nition 1.ii λ 1, k 0andl1 ··· ln 0, then we have the integral operator de nedby 1.26.iii k ... then the integral operator Ik,n,l,μ F, de ned by 1.27,isintheclass Sk1γ,b,1,whereγ is de ned as in 2.9.Proof. In Theorem 2.2, we consider λ 1.From Corollary 2.3, we immediately...
... HRR test demonstrated 18protan defectives showing a mild degree in 2, a medium de- gree in 7, and a severe degree in 9; 19 deutan defectives show-ing a medium degree in 4 and a severe degree ... protandefectives, 21 deutan defectives, and 3 unclassified subjects,while the CHT showed 18 protan defectives, 19 deutan de- fectives, and 5 unclassified color defectives. As the severity ofdegrees ... for deuteranomalous coneshift (Δλ)ismeasuredasDdeutani(Δλ)=L∗i−L∗deutani(Δλ)2+a∗i−a∗deutani(Δλ)2+b∗i−b∗deutani(Δλ)2,(15)where{L∗deutani, a∗deutani,...
... requiring logz − ξto be real when z − ξ>0. De nition 4.2. Under the hypothesis of De nition 4.1, the fractional derivative of order p ηis de ned, for a function f,byDpηzfzdpdzpDηzfz, ... 3also by Srivastava andOwa 4 will be required in our investigation. De nition 4.1. The fractional derivative of order η is de ned, for a function f,byDηzfz1Γ1 − ηddzz0fξz ... This is an open access article distributed under the CreativeCommons Attribution License, which permits unrestricted use, distribution, and reproduction inany medium, provided the original work...
... MHn, λ, α is closed under convex linear combination.Proof. Let the functions fnjzj 1, 2 de ned by 4.1 be in the class MHn, λ, α. Then thefunction Ψz de ned byΨzμfn1z1 ... part of f is zero. Also, denote by S∗Hthe subclasses of SHconsisting of functions f thatmapU onto starlike domain.For f h g given by 1.1, we de ne the derivative operator introduced ... functions fnjz be de ned, for j 1, 2, ,byfnjzz −∞k2ak,jzk−1n∞k1bk,jzk.4.3Theorem 4.2. Let the functions fnjz de ned by 4.3 be in...
... of Inequalities and ApplicationsVolume 2008, Article ID 263413, 10 pagesdoi:10.1155/2008/263413Research Article On Harmonic Functions De ned byDerivative OperatorK. Al-Shaqsi and M. DarusSchool ... MalaysiaCorrespondence should be addressed to M. Darus, maslina@pkrisc.cc.ukm.myReceived 16 September 2007; Revised 20 November 2007; Accepted 26 November 2007Recommended by Vijay GuptaLet SHdenote ... This is an open access article distributed underthe Creative Commons Attribution License, which permits unrestricted use, distribution, andreproduction in any medium, provided the original work...
... blocksemantic model. The formal model belongs to the state-transition class models. This class of models includes finiteautomata, formal grammars, Petri nets, and so forth.The model is rich enough ... than other more universalmodels, for example, unified modelling language (UML). Inparticular, it combines the dataflow model, the componentmodel, and the deployment model. However, unlike UML,the ... im-possible to de ne rigorously execution models of functionblocks. We start with some de nitions describing basic func-tionblocksandnetworksoffunctionblocks.A basic function block type is determined...