Georgian Mathematical Journal

Editor-in-Chief Ivan Kiguradze, Tbilisi

Executive Editor Tengiz Buchukuri, Tbilisi

EDITORIAL SECRETARY Maia Kvinikadze, Tbilisi

Editorial Board Alexander Kharazishvili, Tbilisi Hans-Joachim Baues, Bonn Sergo Kharibegashvili, Tbilisi Nodar Berikashvili, Tbilisi Estate Khmaladze, Wellington Oleg V. Besov, Moscow Tariel Kiguradze, Melbourne Bogdan Bojarski, Warsaw Vakhtang Kokilashvili, Tbilisi Pavel Drábek, Plzeň Samuel Krushkal, Ramat Gan Roland Duduchava, Tbilisi Jaroslav Kurzweil, Prague Hans-Jürgen Engelbert, Jena Stanislaw Kwapien, Warsaw Lasha Ephremidze, Tbilisi Hans Rudolf Lerche, Freiburg Revaz Gamkrelidze, Moscow Michael Mania, Tbilisi Joseph Gubeladze, San Francisco Jean Mawhin, Louvain-la-Neuve Hvedri Inassaridze, Tbilisi Paolo Emilio Ricci, Rome Mamuka Jibladze, Tbilisi Vaja Tarieladze, Tbilisi Tornike Kadeishvili, Tbilisi Hans Triebel, Jena Otto H. Kegel, Freiburg Fabio Zanolin, Udine 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 orders is available online at www.degruyter.com/gmj.

ABSTRACTED/INDEXED IN Baidu Scholar · Cabell's Whitelist · CNKI Scholar (China National Knowledge Infrastructure) · CNPIEC: cnpLINKer · Dimensions · EBSCO (relevant databases) · EBSCO Discovery Service · Genamics JournalSeek · Google Scholar · Japan Science and Technology Agency (JST) · J-Gate · Journal Citation Reports/Science Edition · JournalGuide · JournalTOCs · KESLI-NDSL (Korean National Discovery for Science Leaders) · Mathematical Reviews (MathSciNet) · Microsoft Academic · MyScienceWork · Naver Academic · Naviga (Softweco) · Primo Central (ExLibris) · Publons · QOAM (Quality Open Access Market) · ReadCube · SCImago (SJR) · SCOPUS · Semantic Scholar · Sherpa/RoMEO · Summon (ProQuest) · TDNet · Ulrich's Periodicals Directory/ulrichsweb · WanFang Data · Web of Science: Science Citation Index Expanded · WorldCat (OCLC) · Zentralblatt Math (zbMATH).

ISSN 1072-947X · e-ISSN 1572-9176 · CODEN GMJOE5

RESPONSIBLE EDITOR Tengiz Buchukuri, A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, Tamarashvili Str. 6, 0177 Tbilisi, Georgia. Email: [email protected]

Publisher Walter de Gruyter GmbH, Berlin/Boston, Genthiner Straße 13, 10785 Berlin, Germany

JOURNAL MANAGER Diana Kostovic, De Gruyter, Genthiner Straße 13, 10785 Berlin, Germany. Tel.: +49 (0)30 260 05-273, Fax: +49 (0)30 260 05-250 Email: [email protected]

TYPESETTING WisSat Publishing + Consulting GmbH, Fürstenwalde

PRINTING Franz X. Stückle Druck und Verlag e.K., Ettenheim Georgian Mathematical Journal | 2021 | Volume 28 | Issue 3

Contents

Fuad Ali Ahmed Almahdi Peyman Nasehpour On “On derivations and commutativity of prime rings On zero-divisors of semimodules and with involution” 331 semialgebras 413

Khalid Al-Shaalan Moloud Makvand Chaharlang, Abdolrahman Razani Some properties of rings and near-rings with Two weak solutions for some Kirchhoff-type problem derivations and generalized derivations 335 with Neumann boundary condition 429

Victor I. Burenkov, Denny I. Hakim, Eiichi Nakai, Mustafa Özel, Dilek Varol Yoshihiro Sawano, Takuya Sobukawa, On the lower bounds for the minimum eigenvalue of the Tamara V. Tararykova Hadamard product of an M-matrix and its inverse 439 Complex interpolation of the predual of Morrey spaces over measure spaces 341 Fernando Pablos Romo On the classification of endomorphisms on Jun-Fan Chen infinite-dimensional vector spaces 445 Meromorphic functions sharing unique range sets with one or two elements 349 Alfredas Račkauskas Asymptotic normality of sums of Hilbert space valued Wieslaw A. Dudek, Valentin S. Trokhimenko random elements 459 Menger algebras of k-commutative n-place functions 355 Valentin Skvortsov, Francesco Tulone A version of Hake’s theorem for Kurzweil–Henstock Belhadj Karim, Abdellah Zerouali, Omar Chakrone integral in terms of variational measure 471 Steklov eigenvalue problem with a-harmonic solutions and variable exponents 363 George Tephnadze A note on the strong summability of two-dimensional Vakhtang Kokilashvili, Mieczysław Mastyło, Walsh–Fourier series 477 Alexander Meskhi Singular integral operators in some variable exponent Tamaz Vashakmadze Lebesgue spaces 375 On the theory and practice of thin-walled structures 483 Imed Lamiri, Jihen Weslati Asymptotic relations involving d-orthogonal polynomials 383

Yu Liu, Shuai Qi BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators 401