ترجمه فارسی کتاب

 

آنالیز تابعی

 

جان بی کانوی

 

ترجمه: دکتر مینا اتفاق - دکتر سینا اعتماد

 

(چاپ دوم)

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قیمت کتاب : 37000 تومان

هزینه پست پیشتاز: (سراسر کشور) 15000

 

A First Course in Functional Analysis

John B. Conway

201323

Code: 201323

A Compound Poisson Model for Learning Discrete Bayesian Networks

Abdelaziz Ghribi, Afif Masmoudi

 

Abstracts

We introduce here the concept of Bayesian networks, in compound Poisson model, which provides a graphical modeling framework that encodes the joint probability distribution for a set of random variables within a directed acyclic graph. We suggest an approach proposal which offers a new mixed implicit estimator. We show that the implicit approach applied in compound Poisson model is very attractive for its ability to understand data and does not require any prior information. A comparative study between learned estimates given by implicit and by standard Bayesian approaches is established. Under some conditions and based on minimal squared error calculations, we show that the mixed implicit estimator is better than the standard Bayesian and the maximum likelihood estimators. We illustrate our approach by considering a simulation study in the context of mobile communication networks

 

201322

Code: 201322

Monotonicity and Inequalities for the Generalized Distortion Function

Xiaoyan Ma, Yuming Chu, Fei Wang

 

Abstracts

The authors prove some monotonicity properties of functions involving the generalized Agard distortion function η_K (a, t), and obtain some inequalities for η_K (a, t) and relative distortion functions

 

 

201321

Code: 201321

Some Convolution and Inclusion Properties for Subclasses of Meromorphic p-Valent Functions Involving Integral Operator

R. M. El-Ashawah

 

Abstracts

Making use of the linear operator <img height="39" border="0" style="vertical-align:bottom" width="291" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0252960213601204-si1.gif">${ℒ}_p^m\left(\lambda ,\mathcal{l}\right)f\left(z\right)=\frac{1}{z^p}+\sum _{k=1}^{\infty }{\left[\frac{\mathcal{l}}{\mathcal{l}+\lambda k}\right]}^m{a}_k{z}^{k-p,}$ where l>0,λ>0,p∈ℕ,m∈ℕ₀=ℕ∪{0},z∈U*$\mathcal{l}>0,\lambda >0,p\in \text{ℕ},m\in {\text{ℕ}}_0=\text{ℕ}\cup \left\{0\right\},z\in U*$ and f(z)∈Σp,$f\left(z\right)\in {\Sigma }_{\text{p}},$ we introduce two subclasses of meromorphic p-valent analytic functions and investigate convolution and inclusion properties for these classes

 

 

201320

Code: 201320

Renewal Theorem for (L, 1)-Random Walk in Random Environment

Wenming Hong, Hongyan Sun

 

Abstracts

We consider a random walk on ℤ in random environment with possible jumps {−L, …, −1, 1}, in the case that the environment {ω_i : i ∈ ℤ} are i.i.d.. We establish the renewal theorem for the Markov chain of “the environment viewed from the particle” in both annealed probability and quenched probability, which generalize partially the results of Kesten (1977) and Lalley (1986) for the nearest random walk in random environment on ℤ, respectively. Our method is based on the intrinsic branching structure within the (L, 1)-RWRE formulated in Hong and Wang

 

 

201319

Code: 201319

Regularity of Solutions to Nonlinear Time Fractional Differential Equation

Mirjana Stojanovic

 

Abstracts

We find an upper viscosity solution and give a proof of the existence-uniqueness in the space <img height="31" border="0" style="vertical-align:bottom" width="408" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0252960213601186-si1.gif">$C^{\infty }\left(t\in \left(0,\infty \right);H_2^{s+2}\left({\text{R}}^n\right)\right)\cap C^0\left(t\in [0,\infty \right);H^s\left(R^n\right)),\hspace{0.17em}s\hspace{0.17em}\in R,$ to the nonlinear time fractional equation of distributed order with spatial Laplace operator subject to the Cauchy conditions

equation(0.1)

<img height="54" border="0" style="vertical-align:bottom" width="304" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0252960213601186-si2.gif">$\begin{array}{l}{\int }_0^{2}p\left(\beta \right)D_{*}^{\beta }\hspace{0.17em}u\left(x,t\right)d\beta ={\Delta }_{x}u\left(x,t\right)+f(t,u(t,\hspace{0.17em}x)),\\ t\ge 0,x\in {\text{R}}^n,u\left(o,x\right)=u_t(0,x)=\psi (x),\end{array}$

where Δ_x is the spatial Laplace operator, <img height="22" border="0" style="vertical-align:bottom" width="24" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0252960213601186-si3.gif">$D_{*}^{\beta }$ is the operator of fractional differentiation in the Caputo sense and the force term F satisfies the Assumption 1 on the regularity and growth. For the weight function we take a positive-linear combination of delta distributions concentrated at points of interval <img height="27" border="0" style="vertical-align:bottom" width="502" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0252960213601186-si4.gif">$(0,2)\hspace{0.17em}i.e.,\hspace{0.17em}p(\beta )=\sum _{k=1}^m{b}_k\hspace{0.17em}\delta \left(\beta -{\beta }_k\right),\hspace{0.17em}0\hspace{0.17em}<{\beta }_k<2,\hspace{0.17em}{b}_k>0,\hspace{0.17em}k=1,2,\mathrm{\dots },m.$ The regularity of the solution is established in the framework of the space C^∞(t∈(0,∞); C^∞(Rn))∩Co(t∈[0,∞);C^∞(Rn))$C^{\infty }\left(t\in \left(0,\infty \right);\hspace{0.17em}{C}^{\infty }\left(R^n\right)\right)\cap C^o(t\in [0,\infty );C^{\infty }(R^n))$ when the initial data belong to the Sobolev space

 

201318

Code: 201318

Some Geometric Properties of a New Difference Sequence Space Involving Lacunary Sequences

Murat Karakash, Mikail Et, Vatan Karakaya

 

Abstracts

In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (β) for this space and also show that it is not rotund where p = (p_r) is a bounded sequence of positive real numbers with p_r ≥ 1 for all r ∈ ℕ.

 

201317

Code: 201317

Self-Dual Permutation Codes Over Formal Power Series Rings and Finite Principal Ideal Rings  

Guanghui Zhang, Hongwei Liu

 

Abstracts

In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings

 

201316

Code: 201316

Properties of the Convolution with Prestarlike Functions 

Jacek Dziok

 

Abstracts

In the paper we investigate convolution properties related to the prestarlike functions and various inclusion relationships between defined classes of functions. Interesting applications involving the well-known classes of functions defined by linear operators are also considered

 

201315

Code: 201315

Szegö Type Factorization Theorem for Noncommutative Hardy-Lorentz Spaces 

Jingjing Shao, Yazhou Han

 

Abstracts

We introduce noncommutative Hardy-Lorentz spaces and give the Szegö and inner-outer type factorizations of these spaces