2018
DOI: 10.1186/s13660-018-1719-6
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Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means

Abstract: In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means in terms of combinations of arithmetic and contra-harmonic means.

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Cited by 20 publications
(6 citation statements)
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“…{ } for all a, b ∈ (0, ∞). Recently, the properties and applications for the bivariate means and their related special functions have attracted the attention of many researchers [83][84][85][86][87][88][89][90][91][92][93].…”
Section: Applications To Bivariate Meansmentioning
confidence: 99%
“…{ } for all a, b ∈ (0, ∞). Recently, the properties and applications for the bivariate means and their related special functions have attracted the attention of many researchers [83][84][85][86][87][88][89][90][91][92][93].…”
Section: Applications To Bivariate Meansmentioning
confidence: 99%
“…It is well known that the bivariate means are closely related to the special functions. Recently, the inequalities between different bivariate means have attracted the attention of many researchers [77][78][79][80][81][82].…”
Section: Applications To Special Bivariate Meansmentioning
confidence: 99%
“…An effective and appropriate aggregation operator can make the information of the attribute values not be missing during the aggregation so as to reflect the decision-making effect correctly. Many aggregation operators have been given and extended to different application environments [2][3][4][5][6][7][8][9][10][11][12][13]. Dyckhoff and Pedrycz [14] proposed the generalized mean as connective operators for the fuzzy set theory which easily allow for modeling the degree of compensation in a natural manner, including the arithmetic and geometric means as well as the maximum and minimum operators as special cases.…”
Section: Introductionmentioning
confidence: 99%