Bivariate Montgomery identity for alpha diamond integrals

Abstract

Abstract In the paper, some variants of Montgomery identity with the help of delta and nabla integrals are established which are useful to produce Montgomery identity involving alpha diamond integrals for function of two variables. The aforementioned identity is discussed in discrete, continuous, quantum calculus as well and employed to obtain Ostrowski type inequality for monotonically increasing function with respect to both parameters.

Keywords

• Time scales
• Montgomery identity
• Delta integrals
• Nabla integrals
• Alpha diamond integrals