فهرست مطالب

Sahand Communications in Mathematical Analysis - Volume:2 Issue: 1, 2015
  • Volume:2 Issue: 1, 2015
  • تاریخ انتشار: 1394/05/31
  • تعداد عناوین: 7
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  • Mehdi Rashidi, Kouchi, Akbar Nazari Pages 1-7
    In this paper we proved that every g-Riesz basis for Hilbert space H with respect to K by adding a condition is a Riesz basis for Hilbert B(K)-module B(H,K). This is an extension of [A. Askarizadeh,M. A. Dehghan, {\em G-frames as special frames}, Turk. J. Math., 35, (2011) 1-11]. Also, we derived similar results for g-orthonormal and orthogonal bases. Some relationships between dual frame, dual g-frame and exact frame and exact g-frame are presented too.
  • Hamidreza Marasi, Mojtaba Daneshbastam Pages 9-17
    The work addressed in this paper is a comparative study between convergence of the acceleration techniques, diagonal pad\''{e} approximants and shanks transforms, on Homotopy analysis method and Adomian decomposition method for solving differential equations of integer and fractional orders.
  • Ismail Nikoufar Pages 19-25
    The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers.In this paper, we exhibit the superstability of m-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.
  • H. Kheiri, A. Mojaver, S. Shahi Pages 27-49
    In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified Homotopy perturbation method, it is possible to get an exact solution.
  • Shayesteh Rezaei Pages 51-56
    Let ΩX be a bounded, circular and strictly convex domain of a Banach space X and H(ΩX) denote the space of all holomorphic functions defined on ΩX. The growth space Aω(ΩX) is the space of all f∈H(ΩX) for which |f(x)|⩽Cω(rΩX(x)),x∈ΩX,for some constant C>0, whenever rΩX is the Minkowski functional on ΩX and ω:[0,1)→(0,∞) is a nondecreasing, continuous and unbounded function. Boundedness and compactness of weighted composition operators between growth spaces on circular and strictly convex domains were investigated.
  • Parviz Darania, Jafar Ahmadi Shali Pages 57-69
    In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.
  • Mostafa Hassanlou Pages 71-79
    In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.