Lower bound for the index of convergence of the singular integral in a multidimensional analogue of Tarry's problem

In this paper, a general lower bound is obtained for the index of convergence of the singular integral in a multidimensional analogue of Tarry's problem. In all cases when the exact estimate is known, our estimate coincides with it. © 2022 Forum-Editrice Universitaria Udinese SRL. All rights reserved.

Authors
Chakhkiev M.A. , Tretyakov N.P. , Mouhammad S.A.
Journal
Italian Journal of Pure and Applied Mathematics
Publisher
Forum-Editrice Universitaria Udinese SRL
Language
English
Pages
433-438
State
Published
Link
External link
Volume
48
Year
2022
Organizations
  • 1 Department of Safety Management of Complex Systems, National University of Oil and Gas, Gubkin University, Moscow, Russian Federation
  • 2 Department of Medical Informatics and Telemedicine, Institute of Medicine, Peoples' Friendship University of Russia, RUDN University, Moscow, Russian Federation
  • 3 School of Public Policy, Russian Federation
  • 4 Presidential Academy of National Economy and Public Administration, Moscow, Russian Federation
  • 5 Department of Physics, Faculty of Science, Taif University, AL-Haweiah, Taif, Saudi Arabia
Keywords
index of convergence; oscillating integral; singular integral; Tarry's problem
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