Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective strategies ...

In the paper, the authors present several inequalities for bounding the sums of two sine cardinal functions and the sums of two hyperbolic sine cardinal functions. These inequalities improve ...

Inequalities in mathematical analysis constitute a fundamental tool for establishing bounds and approximations for a diverse array of functions. They underpin many theoretical results while also ...