PARAMETRIC MULHOLLAND-TYPE INEQUALITIES

Leping He; Hongyan Liu; Bicheng Yang

doi:10.11948/20190053

2019 Volume 9 Issue 5

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Leping He, Hongyan Liu, Bicheng Yang. PARAMETRIC MULHOLLAND-TYPE INEQUALITIES[J]. Journal of Applied Analysis & Computation, 2019, 9(5): 1973-1986. doi: 10.11948/20190053

Citation:

Leping He, Hongyan Liu, Bicheng Yang. PARAMETRIC MULHOLLAND-TYPE INEQUALITIES[J]. Journal of Applied Analysis & Computation, 2019, 9(5): 1973-1986. doi: 10.11948/20190053

PARAMETRIC MULHOLLAND-TYPE INEQUALITIES

1.
College of Mathematics and Statistics, Jishou University, Hunan Jishou, 416000, China
2.
Department of Mathematics, Gungdong University of Education, Guangzhou, Guangdong 51003, China

Corresponding author: Email address: jdheleping@163.com(L. He)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 61772140), National Science Foundation of Jishou University (No. Jd16012) and Science and Technology Planning Project Item of Guangzhou City (No. 201707010229)

Abstract

Abstract

By means of the weight functions and the idea of introducing parameters, a discrete Mulholland-type inequality with the general homogeneous kernel and the equivalent form are given. The equivalent statements of the best possible constant factor related to some parameters, the operator expressions and some particular examples are considered.
- Weight function /
- Mulholland-type inequality /
- equivalent statement /
- parameter /
- operator expression
MSC: 26D15

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