Monotonicity, convexity and bounds involving the beta and Ramanujan R-functions
Ti Ren Huang, Lu Chen, Shenyang Tan, Yu-Ming Chu
Abstract
In the article, we provide several new asymptotical sharp bounds for the functions involving the Beta function and Ramanujan R -functions via the monotonicity and convexity properties of certain combinations defined in terms of polynomials, Beta and Ramanujan Rfunctions.
Topics & Concepts
MathematicsConvexityRamanujan's sumMonotonic functionBETA (programming language)CombinatoricsPure mathematicsMathematical analysisComputer scienceFinancial economicsProgramming languageEconomicsMathematical Inequalities and ApplicationsMathematical functions and polynomialsAnalytic Number Theory Research