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C O M M U N I C A T I O N S

Series A1:

Mathematics and Statistics

VOLUME: 66 Number: 1 YEAR: 2017

Abstracted/Indexed in

Mathematical Reviews (MathSciNet), Zentralblatt MATH (ZbMATH), TUBITAK-Ulakbim

Faculty of Sciences, Ankara University 06100 Beşevler, Ankara-Turkey

ISSN 1303-5991

DE LA FACULTE DES SCIENCES

DE L’UNIVERSITE D’ANKARA

FACULTY OF SCIENCES

ANKARA UNIVERSITY

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C O M M U N I C A T I O N S

DE LA FACULTE DES SCIENCES FACULTY OF SCIENCES DE L’UNIVERSITE D’ANKARA ANKARA UNIVERSITY

Series A1: Mathematics and Statistics

Owner

Özlem YILDIRIM (Dean) Editor in Chief

Nuri ÖZALP Managing Editor

Erdal GÜNER

Area Editors

Sait HALICIOĞLU (Group Theory) Elif DEMİRCİ (Applied Mathematics) Gülen TUNCA (Analysis-Theory of Functions) Murat OLGUN (Functional Analysis) Yusuf YAYLI (Geometry) İshak ALTUN (Topology) Yılmaz AKDİ (Statistics) Murat ŞAHİN (Number Theory)

Burcu Ungor (Rings and Modules Theory) Oktay DUMAN (Summability and Approx. Theory)

Editors

M. AKHMET METU TURKEY O. ARSLAN Ankara University, TURKEY A. AYTUNA Sabancı University, TURKEY Elgiz BAIRAMOV Ankara University, TURKEY H. BEREKETOĞLU Ankara University, TURKEY H. BOZDOĞAN Uni. of Tennessee, USA C.Y. CHAN University of Louisiana, USA A. B. EKİN Ankara University, TURKEY D. GEORGIOU Uni.of Patras, GREECE V. GREGORI Univ. Politècnica de València, SPAIN V.S. GULIYEV Nat. Acad. of Sci, AZERBAIJAN I GYORI Veszprem University, HUNGARY A. HARMANCI Hacettep e University, TURKEY F.HATHOUT Université de Saïda, ALGERIA K. ILARSLAN Kırıkkkale Uni., TURKEY A. KABASINSKAS Kaunas U.of Tech., LITHUANIA V. KALANTAROV Koç University, TURKEY F. KARAKOC Ankara University, TURKEY S. KOKSAL Florida Inst. of Tech., USA A. M. KRALL The Penn. State University, USA H.P. KUNZI Uni. of CT, SOUTH AFRICA H.T. LIU Tatung University, TAIWAN Vishnu Narayan MISHRA S. V.NIT., INDIA C. ORHAN Ankara University, TURKEY S. ROMAGUERA Uni. Pol. de València, SPAIN H. M. SRIVASTAVA, Univ. of Victoria, CANADA I.P. STAVROULAKIS Uni. of Ioannina, GREECE C. TEZER METU, TURKEY A.D. TÜRKOĞLU Gazi University, TURKEY S. YARDIMCI Ankara University, TURKEY

This Journal is published two issues in a year by the Faculty of Sciences, University of Ankara. Articles and any other material published in this journal represent the opinions of the author(s) and should not be construed to reflect the opinions of the Editor(s) and the Publisher(s).

Correspondence Address:

COMMUNICATIONS EDITORIAL OFFICE

Ankara University, Faculty of Sciences, 06100 Tandoğan, ANKARA – TURKEY

Tel: (90) 312-212 67 20 Fax: (90) 312-223 23 95

e-mail: commun@science.ankara.edu.tr

http://communications.science.ankara.edu.tr/index.php?series=A1

Print:

Ankara University Press

İncitaş Sokak No:10 06510 Beşevler ANKARA – TURKEY

Tel: (90) 312-213 65 65

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C O M M U N I C A T I O N S

Volume 66 Number : 1 Year :2017

Series A1: Mathematics and Statistics

N. GUNDUZ, E. FOKOUE, On the predictive properties of binary link functions ………

1

N. MUSTAFA, Univalence of certain integral operators involving normalized wright functions ………

19

M. KULA, T3 AND T4-objects in the topological category of Cauchy spaces ……….

29

A.B. KHALAF, H.Z. IBRAHIM, α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness ………

43

I. YILDIRIM, Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C) ...……….

51

C. CELEP YUCEL, U. ACAR, A note on soft modules ………

66

A. HUSEYIN, On the existence of ε-optimal trajectories of the control systems with constrained control resources ………...

75

M. ÇAĞLAR, E. DENIZ, Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator ………..

85

F. ERYILMAZ, S. EREN, On cofinitely weak rad-supplemented modules ………

92

H. OZTEKIN, E.METIN, Mannheim Curves in n.dimensional Euclidean Space ………..……….

98

S. BULUT, Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator …

108

F. DERINGOZ, Commutators of parametric Marcinkiewicz integrals on generalized Orlicz-Morrey spaces..

115

F. HIRA, A trace formula for the Sturm-Liouville type equation with retarded argument ………

124

M. KANDEMIR, Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions ………...

133

D. K. CAMCI, N. AYDIN, On multiplicative (generalized)-derivations in semiprime rings………

153

A.S. OZKAN, Inverse nodal problem for a Sturm-Liouville operator with discontinuous coefficient ………

165

E. KOÇ, Ö. GÖLBAŞI, Results on _α_centralizers of prime and semiprime rings with involution …………

172

O. OĞUR, B. SAĞIR, Vector-valued Cesàro summable generalized Lorentz sequence space ………..

179

U.Z.SAVCI, A GÖRGULU, C. EKICI, On Meusnier theorem for parallel surfaces ……….

187

P. VIJAYWARGIYA, L. VIJAYVERGY, Estimate for initial MacLaurin coefficients of subclass of bi-univalent functions involving the q- derivative operator ………..

199

H. GUN BOZOK, S.A. SEPET, M. ERGUT, Curves of constant breadth according to type-2 bishop frame in E3 ………..

206

M. YILMAZ, M. BEKCI, B. TOPCU, Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system ………

213

U. OZTURK, On surfaces with common pseudo null geodesic in Minkowski 3-space ………

229

A. SAHIN, On the generalized Perrin and Cordonnier matrices

242

F. SULAK, O. KOCAK, E. SAYGI, M. OGUNC, B. BOZDEMIR, A second pre-image attack and a collision attack to cryptographic hash function lux ………...

254

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C O M M U N I C A T I O N S

DE LA FACULTE DES SCIENCES FACULTY OF SCIENCES DE L’UNIVERSITE D’ANKARA ANKARA UNIVERSITY

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