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Bivariate Montgomery identity for alpha diamond integrals

Authors :
Ammara Nosheen
Khalid Mahmood Awan
Masud Ahmad
Shehzad Hameed
Khuram Ali Khan
Source :
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-13 (2019)
Publication Year :
2019
Publisher :
Springer Science and Business Media LLC, 2019.

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.

Details

ISSN :
16871847
Volume :
2019
Database :
OpenAIRE
Journal :
Advances in Difference Equations
Accession number :
edsair.doi.dedup.....c885f8e22f1ba54305922e916c13f1b7
Full Text :
https://doi.org/10.1186/s13662-019-2254-6