SOME INEQUALITIES INVOLVING A FRACTAL OPERATOR OF FUNCTIONS ON THE SPHERE

M. A. NAVASCUES

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SOME INEQUALITIES INVOLVING A FRACTAL OPERATOR OF FUNCTIONS ON THE SPHERE

机译：球面上函数的分形算子的一些不等式

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This paper undertakes the construction of fractal versions of the classical sphericalharmonics. Some inequalities satisfied by the coefficients of the iterated function systems defin-ing the fractal functions provide sufficient conditions for the existence of new Hilbert bases offunctions on the sphere. This fact confirms their properties of good approximation. The method-ology used implies the definition of an operator mapping standard functions into their fractalanalogues. The transformation is linear and bounded and some upper bounds of its norm arealso established.

机译：本文进行了经典球形谐波的分形版本的构造。定义分形函数的迭代函数系统的系数所满足的一些不等式为球上函数的新希尔伯特基的存在提供了充分的条件。这一事实证实了它们的良好近似性质。所使用的方法论暗示了将标准函数映射到其分数阶类似物的算子的定义。变换是线性且有界的，并且还确定了其范数的一些上限。

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来源
《Mathematical inequalities & applications》 |2010年第1期|共16页
作者
M. A. NAVASCUES;
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正文语种 eng
中图分类数学;
关键词
fractal interpolation functions; spherical harmonics; iterated function systems;

机译：分形插值函数;球谐函数;迭代函数系统;

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专利

1. SOME INEQUALITIES INVOLVING A FRACTAL OPERATOR OF FUNCTIONS ON THE SPHERE [J] . M. A. NAVASCUES Mathematical inequalities & applications . 2010,第1期

机译：球面上函数的分形算子的一些不等式
2. Norm inequalities involving convex and concave functions of operators [J] . Alrimawi Fadi, Hirzallah Omar, Kittaneh Fuad Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2019,第9a12期

机译：涉及凸面的常态不等式运营商
3. SOME INEQUALITIES INVOLVING OPERATOR MONOTONE FUNCTIONS AND OPERATOR MEANS [J] . Ghaemi Mohammad Bagher, Kaleibary Venus Mathematical inequalities & applications . 2016,第2期

机译：涉及算子单调函数和算子平均值的一些不等式
4. Some New Inequalities Involving Generalized Fractional Integral Operators for Several Class of Functions [C] . Erhan Set, Abdurrahman G?zpmar International Conference on Advances in Natural and Applied Sciences . 2017

机译：一些新的不等式，涉及几类功能的广义分数整数运营商
5. Contribution to the theory of functional differential equations involving abstract Volterra operators. [D] . Mahdavi, Mehran. 1992

机译：对涉及抽象Volterra算子的泛函微分方程理论的贡献。
6. Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators [O] . Caijing Jiang -1

机译：一类涉及集值算子的广义变分半偏不等式的适定性
7. Inequalities Involving Unitarily Invariant Norms and Operator Monotone Functions (Current topics on operator theory and operator inequalities) [O] . Zhan Xingzhi, Hiai F. 2002

机译：涉及Unit不变范数和算子单调函数的不等式（关于算子理论和算子不等式的当前主题）

SOME INEQUALITIES INVOLVING A FRACTAL OPERATOR OF FUNCTIONS ON THE SPHERE

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