Pure mathematics

Monotonic function

Economics

Computer science

Ramanujan's sum

Mathematics

Mathematical analysis

Financial economics

Combinatorics

Programming language

Convexity

BETA (programming language)

Journal of Mathematical Inequalities

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.

Monotonicity, convexity and bounds involving the beta and Ramanujan R-functions