On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales

Abstract

In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, Hölder inequality, and Jensen’s inequality on time scales.

Hölder-Type Inequalities for Power Series of Operators in Hilbert Spaces

“…Inequalities are essential for establishing the properties of operators and investigating the convergence and behavior of power series. For further reading on mathematical inequalities, interested readers can consult recent papers and the references therein [1][2][3][4][5][6][7][8][9].…”