FUZZY TRIGONOMETRIC KOROVKIN THEORY
FUZZY TRIGONOMETRIC KOROVKIN THEORY
复制标题
模糊三角柯洛夫金理论
DOI：
10.1007/978-3-642-11220-1_8
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
G. Anastassiou
中科院分区：
文献类型：
--
作者：
G. Anastassiou
通过一个模糊Shisha-Mond三角不等式，我们也给出了模糊Korovkin三角定理。这决定了模糊正线性算子序列对模糊单位算子的逼近度。令人惊讶的事实是，只有真实的情况下的三角假设是足够的有效性的模糊三角Korovkin定理，沿着一个非常自然的实现条件所满足的模糊正线性算子序列。后一个条件是满足几乎所有的运营商定义通过模糊求和或模糊积分。本章是基于[32]。
We present the fuzzy Korovkin trigonometric theorem via a fuzzy Shisha–Mond trigonometric inequality presented here too. This determines the degree of approximation with rates of a sequence of fuzzy positive linear operators to the fuzzy unit operator. The astonishing fact is that only the real case trigonometric assumptions are enough for the validity of the fuzzy trigonometric Korovkin theorem, along with a very natural realization condition fulfilled by the sequence of fuzzy positive linear operators. The latter condition is satisfied by almost all operators defined via fuzzy summation or fuzzy integration. This chapter is based on [32].