georgian mathematical journal

GEORGIAN
MATHEMATICAL
JOURNAL
EDITOR-IN-CHIEF
Ivan Kiguradze, Tbilisi
EXECUTIVE EDITOR
Tengiz Shervashidze, Tbilisi
EDITORIAL SECRETARY
Maia Kvinikadze, Tbilisi
EDITORIAL BOARD
Revaz Bantsuri, Tbilisi
Hans-Joachim Baues, Bonn
Nodar Berikashvili, Tbilisi
Oleg V. Besov, Moscow
Bogdan Bojarski, Warsaw
Roland Duduchava, Tbilisi
Hans-Jürgen Engelbert, Jena
Revaz Gamkrelidze, Moscow
Joseph Gubeladze, San Francisco
Friedrich Hirzebruch, Bonn
Hvedri Inassaridze, Tbilisi
Mamuka Jibladze, Tbilisi
Tornike Kadeishvili, Tbilisi
Otto H. Kegel, Freiburg
Alexander Kharazishvili, Tbilisi
Sergo Kharibegashvili, Tbilisi
Estate Khmaladze, Wellington
Tariel Kiguradze, Melbourne
Vakhtang Kokilashvili, Tbilisi
Samuel Krushkal, Ramat Gan
Jaroslav Kurzweil, Prague
Stanislaw Kwapien, Warsaw
Hans Rudolf Lerche, Freiburg
Jean Mawhin, Louvain-la-Neuve
Paolo Emilio Ricci, Rome
Vaja Tarieladze, Tbilisi
Hans Triebel, Jena
Nicholas Vakhania, Tbilisi
Fabio Zanolin, Udine
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GEORGIAN MATHEMATICAL JOURNAL publishes research articles of best scientific standard in pure and applied mathematics. Special emphasis is
put on the presentation of results obtained by Georgian mathematicians.
All information regarding notes for contributors, subscriptions, Open access, back volumes and o­ rders is available online at www.degruyter.com/gmj.
ABSTRACTED/INDEXED IN Celdes • CNKI Scholar (China National Knowledge Infrastucture) • CNPIEC • EBSCO Discovery Service • Elsevier:
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• Summon (Serials Solutions/ProQuest) • TDOne (TDNet) • Thomson Reuters: Journal Citation Reports/Science Edition; Science Citation Index
Expanded • WorldCat (OCLC) • Zentralblatt Math.
ISSN 1072-947X · e-ISSN 1572-9176 · CODEN GMJOE5
RESPONSIBLE EDITOR Tengiz Shervashidze, A. Razmadze Mathematical Institute of I. Javakhishvili ­Tbilisi State University,
M. Tamarashvili Str. 6, 0177 Tbilisi, Georgia.
Email: [email protected]
JOURNAL MANAGER Katharina Kaupen, De Gruyter, Genthiner Straße 13, 10785 Berlin, Germany.
Tel.: +49 (0)30 260 05-385, Fax: +49 (0)30 260 05-250
Email: [email protected]
RESPONSIBLE FOR ADVERTISEMENTS Panagiota Herbrand, De Gruyter, Rosenheimer Straße 143, 81671 München, Germany.
Tel.: +49 (0)89 769 02-394, Fax: +49 (0)89 769 02-350
Email: [email protected]
© 2014 Walter de Gruyter GmbH, Berlin/Boston
TYPESETTING Dimler & Albroscheit, Müncheberg
PRINTING Franz X. Stückle Druck und Verlag e.K., Ettenheim
Printed in Germany
Offenlegung der Inhaber und Beteiligungsverhältnisse gem. § 7a Abs. 1 Ziff. 1, Abs. 2 Ziff. 3 des Berliner Pressegesetzes: Die Gesellschafter der
Walter de Gruyter GmbH sind: Cram, Gisela, Rentnerin, Berlin; Cram, Elsbeth, Pensionärin, Rosengarten-Alvesen; Cram, Margret, Studienrätin i.R.,
Berlin; Cram, Dr. Georg-Martin, Unternehmens-Systemberater, Stadtbergen; Cram, Maike, Berlin; Cram, Jens, Mannheim; Cram, Ingrid, Betriebsleiterin, Tuxpan / Michoacan (Mexiko); Cram, Sabina, Mexico, DF (Mexiko); Cram, Silke, Wissenschaftlerin, Mexico DF (Mexiko); Cram, Björn,
Aachen; Cram, Ella Anita, Rentnerin, Berlin; Cram, Berit, Greifswald; Cram-Gomez, Susanne, Mexico DF (Mexiko); Cram-Heydrich, Walter, Mexico
DF (Mexico); Duvenbeck, Brigitta, Oberstudienrätin i.R., Bad Homburg; Fund, Dr. Sven, geschäftsführender Gesellschafter, Berlin; Gädeke, Gudula,
M.A., Atemtherapeutin/Lehrerin, Tübingen; Gädeke, Martin, Einzelunterehmer, Würzburg; Lubasch, Dr. Annette, Ärztin, Berlin; Schütz, Dr. Christa,
Ärztin, Mannheim; Schütz, Sonja, Berlin; Schütz, Juliane, Berlin; Schütz, Antje, Berlin; Schütz, Valentin, Berlin;Seils, Dorothee, Apothekerin, Stuttgart; Seils, Gabriele, Journalistin, Berlin; Seils, Dr. Clara-Eugenie, Oberstudienrätin i.R., Reppenstedt; Seils, Christoph, Journalist, Berlin; Siebert,
John-Walter, Pfarrer, Oberstenfeld; Walter de Gruyter Stiftung, Berlin.
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Georgian Mathematical Journal
| 2014 | Volume 21 | Issue 1
Contents
Andrea Aglić Aljinović, Mario Krnić, Josip Pečarić
Weighted Montgomery identity for the fractional integral
1
of a function with respect to another function
Larry Gogoladze, Vakhtang Tsagareishvili
Absolute convergence of multiple Fourier–Haar
69
series
Ahmed A. Al-Gonah, Subuhi Khan
New classes of Hermite–Tricomi functions and
generating relations
11
Vijay Gupta
A Stancu variant of Beta-Szász operators
Shakir Ali, Nadeem Ahmed Dar
On ∗-centralizing mappings in rings with
involution
25
75
Alexander B. Kharazishvili
On some real-valued step-functions with strange
measurability properties
83
Malkhaz Ashordia
On the general linear boundary value problems for
impulsive systems with singularities
29
Behrooz Mashayekhy, Hanieh Mirebrahimi,
Zohreh Vasagh
A topological approach to the nilpotent multipliers of a
free product
89
Piotr Bartłomiejczyk, Piotr Nowak-Przygodzki
On the topology of spaces of partial and local
maps
41
Dinu Teodorescu
On firmly nonexpansive perturbations of the identity in
Hilbert spaces
97
Mariam Beriashvili, Aleks Kirtadze
On the uniqueness property of non-separable extensions
of invariant Borel measures and relative measurability of
49
real-valued functions
Jianglong Wu
Boundedness of some sublinear operators on
Herz–Morrey spaces with variable exponent
101
Chuang-Xin Chen, Zong-Xuan Chen
Shared values for differences and Borel exceptional
values
57
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Unauthenticated
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