Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert Spaces

Sever S. Dragomir

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Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert Spaces

机译：Hilbert空间中向量值函数的Bochner积分的连续三角不等式的逆

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Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

机译：给出了希尔伯特空间中向量值函数的Bochner积分的连续三角形不等式的一些逆。还提供了复数值函数的应用程序。

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《Journal of inequalities in pure and applied mathematics》 |2005年第2期|共10页
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Sever S. Dragomir;
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中图分类数学;
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入库时间 2022-08-18 16:36:16

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专利

1. Reverses of the continuous triangle inequality for Bochner integral in complex Hilbert spaces [J] . Dragomir SS Journal of Mathematical Analysis and Applications . 2007,第1期

机译：复杂希尔伯特空间中Bochner积分的连续三角形不等式的逆
2. A refinement of Gruss type inequality for the Bochner integral of vector-valued functions in Hilbert spaces and applications [J] . C. Bucse, P. Cerone, S. S. Dragomir, Journal of the Korean Mathematical Society . 2006,第5期

机译：Hilbert空间中的向量值函数的Bochner积分的Gruss型不等式的改进
3. QUADRATIC REVERSES OF THE TRIANGLE INEQUALITY FOR BOCHNER INTEGRAL IN HILBERT SPACES [J] . Sever S. Dragomir Bulletin of the Australian Mathematical Society . 2004,第3期

机译：Hilbert空间中Bochner积分的三角不等式的二次逆
4. Integral Representations of Continuous Linear Maps On p-adic Spaces of Continuous Functions [C] . Athanasios K. Katsaras International Conference p-adic Functional Analysis . 2013

机译：连续功能的P-ADIC空间上连续线性贴图的积分表示
5. Some contributions to analysis: A new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space. [D] . Donnelly, Roderick Kerry. 1988

机译：对分析的一些贡献：涉及Hilbert变换的积分微分方程的广义函数的新空间，以及关于Hilbert空间上测试函数的空间的非核性的注释。
6. INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE [O] . Witold M. Bogdanowicz 1965

机译：线性连续算子从Lebesgue-Bochner可加函数空间到任何Banach空间的积分表示
7. ADDITIVE REVERSES OF THE CONTINUOUS TRIANGLE INEQUALITY FOR BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES [O] . Sever S. Dragomir 2004

机译：Hilbert空间中向量值函数的Bochner积分的连续三角形不等式的加和逆
8. Integral Representation of the Exponentially Convex Functions of Infinitely Many Variables on Hilbert Spaces [R] . Okb El-Bab, A. S., El-Shazli, M. S. 1982

机译：Hilbert空间上无穷多元的指数凸函数的积分表示

Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert Spaces

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