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Fine spectra of upper triangular triple-band matrices over the sequence space ℓp, (0 thematics, Necmettin Erbakan, Konya, Turkey Abstract The operator A(r, s, t) on sequence space on ℓp is defined A(r, s, t)x = (rxk−1 + sxk + txk+1) ∞ k=0 where x = (xk) ∈ ℓp, with (0 in purpose of this paper is to determine the fine spectrum with respect to the Goldberg’s classification of the operator A(r, s, t) defined by a triple sequential band matrix over the sequence space ℓp. Additionally, we give the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator A(r, s, t) over the space ℓp. References [1] A.M. Akhmedov, F. Ba¸sar, On the fine spectrum of the Cesàro operator in c0, Math. J. Ibaraki Univ. 36(2004), 25–32. [2] F. Ba¸sar, B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J. 55(1)(2003), 136–147. [3] H. Bilgiç, H. Furkan, On the fine spectrum of the operator B(r, s, t) over the sequence spaces ℓ1 and bv, Math. Comput. Modelling 45(2007), 883–891. H. Furkan, H. Bilgiç, F. Ba¸sar, On the fine spectrum of the operator B(r, s, t) over the sequence spaces ℓp and bvp, (1 inear Operators, Dover Publications, Inc. New York, 1985. [5] E. Kreyszig, Introductory Functional Analysis with Applications, John Wiley & Sons Inc. New York · Chichester · Brisbane · Toronto, 1978. [6] J.I. Okutoyi, On the spectrum of C1 as an operator on bv, Commun. Fac. Sci. Univ. Ank. Ser. A1. 41(1992), 197–207. [7] J.B. Reade, On the spectrum of the Cesaro operator, Bull. Lond. Math. Soc. 17(1985), 263–267. [8] B.E. Rhoades, The fine spectra for weighted mean operators, Pacific J. [9] P.D. Srivastava, S. Kumar, Fine spectrum of the generalized difference operator ∆uv on sequence space l1, Appl. Math. Comput. in press. [10] R.B. Wenger, [11] M. Yıldırım, On the fine spectrum of the Rhaly operators on ℓp, East Asian Math. J. 20(2004), 153–160. Page 34
Approximation by Certain Linear Positive Operators of Two Variables A.K. Gazanfer 1 and ·I. Büyükyaz¬c¬ 2 1 Department of Mathematics, Bülent Ecevit University, Zonguldak, Turkey 2 Department of Abstract Mathematics, Ankara University, Ankara, Turkey In this study, we introduce positive linear positive operators which are combined the Chlodowsky and Szász type operators and study some approximation properties of these operators in the space of continuous functions of two variables on a compact set. The rate of convergence of this operators are obtained by means of the modulus of continuity. And we also obtain weighted approximation properties for these positive linear operators in a weighted space of functions of two variables and …nd the rate of the convergence for this operators by using weighted modulus of continuity. References [1] A.D. Gadjiev, R.O. Efendiev and E. Ibikli, Generalized Bernstein-Chlodowsky polynomials, Rocky Mountain J. Math. 28 (1998). [2] A.D. Gadjiev, Linear positive operators in weighted space of functions of several variables, Izvestiya Acad. of Sciences of Azerbaijan, N4, 1980. [3] A.D. Gadjiev, H. Hac¬saliho¼glu, Convergence of the sequences of linear positive operators., Ankara, 1995 (in Turkish). [4] E.A. Gadjieva and E. Ibikli, On generalization of Bernstein-Chlodowsky polynomials, Hacettepe Bull. Natur. Sci. Engrg. 24 (1995), 31 40. [5] N.·Ispir, Ç.Atakut, Approximation by modi…ed Szász–Mirakjan operators on weighted spaces, Proc. Indian Acad. Sci. (Math. Sci.), 12(4) (2002) 571–578. [6] F. Ta¸sdelen, A. Olgun, G. B. Tunca, Approximation of functions of two variables by certain linear positive operators, Proc. Indian Acad. Sci. (Math. Sci.) Vol. 117, No. 3, August 2007, pp. 387–399. [7] V. I. Volkov , On the convergence of sequences of linear positive operators in the space of continuous functions of two variable, Math. Sb. N. S 43(85) (1957) 504 (Russian). [8] Z. Walczak, On certain modi…ed Szász–Mirakjan operators for functions of two variable, Demon- stratio Math. 33(1) (2000) 92–100. Page 35
Page 3 and 4: TABLE OF CONTENTS P a g e | i Shado
Page 5 and 6: P a g e | iii Sturm Liouville Probl
Page 7 and 8: P a g e | v Real Time 3D Palmprint
Page 9 and 10: ��
Page 11 and 12: Abstract On the Classifications of
Page 13 and 14: A Note on the Numerical Solution of
Page 15 and 16: Abstract A Third-Order of Accuracy
Page 17 and 18: Boundary Value Problem for a Third
Page 19 and 20: [18] S. G. Krein, Linear Differenti
Page 21 and 22: Positivity of Two-dimensional Ellip
Page 23 and 24: On the Numerical Solution of Ultra
Page 25 and 26: Abstract Optimal Control Problem fo
Page 27 and 28: On Stability Of Hyperbolic- Ellipti
Page 29 and 30: Abstract FUZZY CONTINUOUS DYNAMICAL
Page 31 and 32: [10] D.L. DeAngelis, R.A. Goldstein
Page 33 and 34: Bright and dark soliton solutions f
Page 35 and 36: [22] H., Triki, A.M.,Wazwaz, Bright
Page 37 and 38: [5] Khadjiev Dj., Çavu¸s A., Four
Page 39 and 40: Paths of Minimal Length on Suborbit
Page 41: On A SUBCLASS OF UNIVALENT FUNCTION
Page 45 and 46: PARABOLIC PROBLEMS WITH PARAMETER O
Page 47 and 48: On the Numerical Solution of a Diff
Page 49 and 50: [3] Y. Ma, and Y. Ge, Applied Mathe
Page 51 and 52: A Fuzzy Approach to Multi Objective
Page 53 and 54: Derivation and numerical study of r
Page 55 and 56: [11] G.A. Baker, P. Graves-Morris,
Page 57 and 58: Three Models based Fusion Approach
Page 59 and 60: The normal inverse Gaussian distrib
Page 61 and 62: Compact and Fredholm Operators on M
Page 63 and 64: Abstract Extended Eigenvalues of Di
Page 65 and 66: A New General Inequality for double
Page 67 and 68: Exact Solutions of the Schrödinger
Page 69 and 70: [9] Titeux I., Yakubov Y., Complete
Page 71 and 72: Positivity of Elliptic Difference O
Page 73 and 74: Transient and Cycle Structure of El
Page 75 and 76: Abstract Characterizations of Slant
Page 77 and 78: Page 69 [20] Struik, D. J., Differe
Page 79 and 80: Applied Mathematics Analysis of the
Page 81 and 82: Multibody Railway Vehicle Dynamics
Page 83 and 84: Existence of Global Solutions for a
Page 85 and 86: On the stability of the steady-stat
Page 87 and 88: On the Numerical Solution of Diffus
Page 89 and 90: Using expanding method of (G ′ /G
Page 91 and 92: Weighted Bernstein Inequality for T
Page 93 and 94:
Abstract An Application on Suborbit
Page 95 and 96:
On The First Fundamental Theorem fo
Page 97 and 98:
Abstract Almost Convergence and Gen
Page 99 and 100:
Forecast results in contrast with o
Page 101 and 102:
Page 93 [15] M. El-Shahed, A. Salem
Page 103 and 104:
yields a system of equations which
Page 105 and 106:
Abstract Application of the Trial E
Page 107 and 108:
Oscillation Theorems for Second-Ord
Page 109 and 110:
Abstract On Hadamard Type Integral
Page 111 and 112:
A geometrical approach of an optima
Page 113 and 114:
A Perturbation Solution Procedure f
Page 115 and 116:
Solution of Differential Equations
Page 117 and 118:
Aproximation Properties of a Genera
Page 119 and 120:
Blow up of a solution for a system
Page 121 and 122:
A Note on Some Elementary Geometric
Page 123 and 124:
Abstract Solving Crossmatching Puzz
Page 125 and 126:
Polygonal Approximation of Digital
Page 127 and 128:
Panoramic Image Mosaicing Using Mul
Page 129 and 130:
[9] Naimark, M. A. Linear Differant
Page 131 and 132:
Abstract Chaos in cubic-quintic non
Page 133 and 134:
Semismooth Newton method for gradie
Page 135 and 136:
Multiple solutions for quasilinear
Page 137 and 138:
The Modified Bi-quintic B-spline ba
Page 139 and 140:
The Modified Kudryashov Method for
Page 141 and 142:
Study of an inverse problem that mo
Page 143 and 144:
Abstract Finding Global minima with
Page 145 and 146:
PARAMETER DEPENDENT NOVIER-STOKES L
Page 147 and 148:
7. D. J. Fyfe, The use of cubic spl
Page 149 and 150:
Page 141 An error correction method
Page 151 and 152:
Classification of exact solutions f
Page 153 and 154:
Abstract Numerical Solution of a Hy
Page 155 and 156:
generalized hyperbolic tangent func
Page 157 and 158:
EQUIVALENCE OF AFFINE CURVES Yasemi
Page 159 and 160:
Modified trial equation method for
Page 161 and 162:
Normal Extensions of a Singular Dif
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