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New generalizations of Steffensen's inequality by Lidstone's polynomial.
- Source :
-
Aequationes Mathematicae . Apr2024, Vol. 98 Issue 2, p441-454. 14p. - Publication Year :
- 2024
-
Abstract
- In this paper, we utilize some known Steffensen-type identities, obtained by using Lidstone's interpolating polynomial, to prove new generalizations of Steffensen's inequality. We obtain these new generalizations by using the weighted Hermite-Hadamard inequality for (2 n + 2) - convex and (2 n + 3) - convex functions. Further, the newly obtained inequalities can be observed as an upper- and lower-bound for utilized Steffensen-type identities. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GENERALIZATION
*CONVEX functions
*POLYNOMIALS
*GREEN'S functions
Subjects
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 98
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 176339613
- Full Text :
- https://doi.org/10.1007/s00010-023-00953-2