Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

Abstract

Abstract We show some Cauchy–Bunyakovsky–Schwarz type inequalities related to the Möbius operations in complex inner product spaces which are extensions of a similar type inequality obtained recently, and we discuss some properties.

Keywords

• Schwarz inequality
• Möbius addition
• Möbius scalar multiplication
• Möbius gyrovector space