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3: Paper Source PDF document

Paper's Title:

Robust Error Analysis of Solutions to Nonlinear Volterra Integral Equation in Lp Spaces

Author(s):

Hamid Baghani, Javad Farokhi-Ostad and Omid Baghani

Department of Mathematics, Faculty of Mathematics,
University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan,
Iran.
E-mail: h.baghani@gmail.com

Department of Mathematics, Faculty of Basic Sciences,
Birjand University of Technology, Birjand,
Iran.
E-mail: j.farrokhi@birjandut.ac.ir

Department of Mathematics and Computer Sciences,
Hakim Sabzevari University, P.O. Box 397, Sabzevar,
Iran.
E-mail: o.baghani@gmail.com

Abstract:

In this paper, we propose a novel strategy for proving an important inequality for a contraction integral equations. The obtained inequality allows us to express our iterative algorithm using a "for loop" rather than a "while loop". The main tool used in this paper is the fixed point theorem in the Lebesgue space. Also, a numerical example shows the efficiency and the accuracy of the proposed scheme.



3: Paper Source PDF document

Paper's Title:

Operators On Frames

Author(s):

Javad Baradaran and Zahra Ghorbani

Department of Mathematics,
Jahrom University, P.B. 7413188941,
Jahrom,
Iran.
E-mail: baradaran@jahromu.ac.ir

Department of Mathematics,
Jahrom University, P.B. 7413188941,
Jahrom,
Iran.
E-mail: ghorbani@jahromu.ac.ir

Abstract:

In this paper, we first show the conditions under which an operator on a Hilbert space H can be represented as sum of two unitary operators. Then, it is concluded that a Riesz basis for a Hilbert space H can be written as a sum of two orthonormal bases. Finally, the study proves that if A is a normal maximal partial isometry on a Hilbert space H and if {ek}k=1 is an orthonormal basis for H, then {Aek}k=1 is a 1-tight frame for H.


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