2019
DOI: 10.1007/s11139-018-0130-8
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Precise estimates for the solution of Ramanujan’s generalized modular equation

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Cited by 40 publications
(13 citation statements)
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“…A bivariate function Ω: (0, ∞) × (0, ∞) ⟶ (0, ∞) is said to be a mean if min a, b { } ≤ Ω(a, b) ≤ max a, b { } for all a, b ∈ (0, ∞). Recently, the bivariate means have been the subject of intensive research [63][64][65][66][67][68][69][70][71][72][73][74][75]; in particular, many remarkable inequalities and properties for the bivariate means and their related special functions can be found in the literature [76][77][78][79][80][81][82][83][84][85].…”
Section: Applications To Special Meansmentioning
confidence: 99%
“…A bivariate function Ω: (0, ∞) × (0, ∞) ⟶ (0, ∞) is said to be a mean if min a, b { } ≤ Ω(a, b) ≤ max a, b { } for all a, b ∈ (0, ∞). Recently, the bivariate means have been the subject of intensive research [63][64][65][66][67][68][69][70][71][72][73][74][75]; in particular, many remarkable inequalities and properties for the bivariate means and their related special functions can be found in the literature [76][77][78][79][80][81][82][83][84][85].…”
Section: Applications To Special Meansmentioning
confidence: 99%
“…A bivariate function : (0, ∞) × (0, ∞) → (0, ∞) is said to be a bivariate mean if min{ 1 , 2 } ≤ ( 1 , 2 ) ≤ max{ 1 , 2 } for all 1 , 2 ∈ (0,∞). Recently, the bivariate mean has attracted the attention of many researchers; in particular, many remarkable inequalities for the bivariate means and their related special functions can be found in the literature [39][40][41][42].…”
Section: Applications To Special Meansmentioning
confidence: 99%
“…In the last few years, many researchers have shown their extensive attention on the generalizations, extensions, variations, refinements, and applications of the HH inequality (see [2][3][4][5][6][7][8][9][10][11][12][13][14][15]). The most well-known generalization of the HH inequality is the Hermite-Hadamard-Fejér inequality [16].…”
Section: Introductionmentioning
confidence: 99%