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A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions.
- Source :
-
Mathematical Methods in the Applied Sciences . 3/15/2022, Vol. 45 Issue 4, p1845-1863. 19p. - Publication Year :
- 2022
-
Abstract
- In this paper, we prove two identities involving quantum derivatives, quantum integrals, and certain parameters. Using the newly proved identities, we prove new inequalities of Simpson's and Newton's type for quantum differentiable convex functions under certain assumptions. Moreover, we discuss the special cases of our main results and obtain some new and existing Simpson's type inequalities, Newton's type inequalities, midpoint type inequalities, and trapezoidal type inequalities. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIABLE functions
*CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 45
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 155106542
- Full Text :
- https://doi.org/10.1002/mma.7889