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

被引：0

作者：

Chakhkiev, Magomed A. ^{[1
]}

Tretyakov, Nikolay P. ^{[2
,3
]}

Mouhammad, Saif A. ^{[4
]}

机构：

[1] Gubkin Univ, Natl Univ Oil & Gas, Dept Safety Management Complex Syst, Moscow, Russia

[2] RUDN Univ, Peoples Friendship Univ Russia, Inst Med, Dept Med Informat & Telemed, Moscow, Russia

[3] Presidential Acad Natl Econ & Publ Adm, Moscow, Russia

[4] Taif Univ, Fac Sci, Dept Phys, AL Haweiah, Saudi Arabia

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 48期

关键词：

oscillating integral; singular integral; index of convergence; Tarry's problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：433 / 438

页数：6

共 50 条

[1] Lower bound for the index of convergence of the singular integral in a multidimensional analogue of Tarry?s problem
Chakhkiev, Magomed A.
Tretyakov, Nikolay P.
Mouhammad, Saif A.
[J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48): : 433 - 438
[2] Lower bound for the index of convergence of the singular integral in a multidimensional analogue of Tarry's problem
Chakhkiev, Magomed A.
Tretyakov, Nikolay P.
Mouhammad, Saif A.
[J]. Italian Journal of Pure and Applied Mathematics, 2022, 48 : 433 - 438
[3] On the convergence exponent of the singular integral in the multi-dimensional analogue of Tarry's problem
Chakhkiev, MA
[J]. IZVESTIYA MATHEMATICS, 2003, 67 (02) : 405 - 418
[4] CONVERGENCE EXPONENT OF THE TARRY PROBLEM SINGULAR INTEGRAL
ARKHIPOV, GI
KARATSUBA, AA
CHUBARIKOV, VN
[J]. DOKLADY AKADEMII NAUK SSSR, 1979, 248 (02): : 268 - 272
[5] The exponent of convergence of the singular integral in a multidimensional analog of the Terry problem
Chakhkiev, MA
[J]. DOKLADY MATHEMATICS, 2003, 67 (03) : 320 - 322
[6] Exact value of the exponent of convergence of the singular integral in Tarry's problem for homogeneous polynomials of degree n in two variables
Chakhkiev, M. A.
[J]. IZVESTIYA MATHEMATICS, 2021, 85 (02) : 332 - 340
[7] INDEX OF SYSTEMS OF MULTIDIMENSIONAL SINGULAR INTEGRAL EQUATIONS
VOLPERT, AI
[J]. DOKLADY AKADEMII NAUK SSSR, 1963, 152 (06): : 1292 - &
[8] ON THE CONVERGENCE OF ONE CUBATURE PROCESS FOR THE MULTIDIMENSIONAL SINGULAR INTEGRAL
MUSAYEV, BI
[J]. IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1980, (06): : 48 - 57
[9] A singular perturbation problem with integral curvature bound
Nagase, Yuko
Tonegawa, Yoshihiro
[J]. HIROSHIMA MATHEMATICAL JOURNAL, 2007, 37 (03) : 455 - 489
[10] A MULTIDIMENSIONAL ANALOGUE OF THE SIMPSON'S FORMULA OF INTEGRAL
Fujii, Kazuyuki
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (03) : 471 - 483

← 1 2 3 4 5 →