Diversity of several estimates transformed on time scales

Abstract

Abstract In this research article, we prove several generalizations of reverse Callebaut, Rogers–Hölder, and Cauchy–Schwarz inequalities via reverses of Young inequalities on time scales. Discrete, continuous, and quantum versions of the results are unified and extended on time scales.

Keywords

• Time scales
• Specht ratio
• Reverses of Callebaut
• Rogers–Hölder
• Cauchy–Schwarz inequalities