Application of Derived Numbers Theory in Convex Analysis

被引：1

作者：

Alferov, Gennady ^{[1
]}

Ivanov, Gennady ^{[1
]}

Sharlay, Artem ^{[1
]}

Fedorov, Viktor ^{[1
]}

机构：

[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia

来源：

INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018) | 2019年 / 2116卷

关键词：

D O I：

10.1063/1.5114063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for monotonicity and convexity of one variable functions are given.

引用

页数：3

共 50 条

[21] Complex numbers and convex polygies
Knopp, K
MATHEMATISCHE ZEITSCHRIFT, 1928, 27 : 146 - 149
[22] Covering Numbers for Convex Functions
Guntuboyina, Adityanand
Sen, Bodhisattva
IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, 59 (04) : 1957 - 1965
[23] Abstract Convexity in Measure Theory and in Convex Analysis
V. L. Levin
Journal of Mathematical Sciences, 2003, 116 (4) : 3432 - 3467
[24] Application of convex streamline theory to circular-crested weir
Mohammadzadeh-Habili, Jahanshir
Heidarpour, Manouchehr
BIOSYSTEMS ENGINEERING, 2013, 116 (04) : 326 - 334
[25] Application of the Theory of Convex Sets for Engineering Structures with Uncertain Parameters
Pelczynski, Jan
APPLIED SCIENCES-BASEL, 2020, 10 (19): : 1 - 16
[26] Concerning the application of the primary number theory to the Waring problem in the theory of elementary numbers
Landau, E
MATHEMATISCHE ANNALEN, 1909, 66 : 102 - 105
[27] Weakly convex and convex domination numbers of some products of graphs
Kucienska, Agata
Lemanska, Magdalena
Raczek, Joanna
ARS COMBINATORIA, 2016, 124 : 409 - 420
[28] APPLICATION OF THE THEORY OF NUMBERS TO THE MAGNETIC PROPERTIES OF A FREE ELECTRON GAS
STEELE, MC
PHYSICAL REVIEW, 1952, 88 (03): : 451 - 464
[29] The application of the theory of admissible numbers to time series with constant probability
Regan, Francis
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1934, 36 (1-4) : 511 - 529
[30] Application of the operational or symbolic calculus to the theory of prime numbers.
van der Pol, B
PHILOSOPHICAL MAGAZINE, 1938, 26 (179): : 921 - 940

← 1 2 3 4 5 →