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Bivariate Montgomery identity for alpha diamond integrals
- 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.
- Subjects :
- Nabla integrals
Pure mathematics
Delta integrals
Algebra and Number Theory
Binary function
lcsh:Mathematics
Applied Mathematics
010102 general mathematics
Monotonic function
Montgomery identity
Function (mathematics)
Quantum calculus
Time scales
lcsh:QA1-939
01 natural sciences
010101 applied mathematics
Identity (mathematics)
Alpha (programming language)
Ordinary differential equation
Alpha diamond integrals
Nabla symbol
0101 mathematics
Analysis
Mathematics
Subjects
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