Generalized Taylor’s Formula and Steffensen’s Inequality
New Steffensen-type inequalities are obtained by combining generalized Taylor expansions, Rabier and Pečarić extensions of Steffensen’s inequality and Faà di Bruno’s formula for higher order derivatives of the composition.
Main Authors: | Asfand Fahad, Saad Ihsaan Butt, Josip Pečarić, Marjan Praljak |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-08-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/16/3570 |
Similar Items
-
Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality
by: Josip Pečarić, et al.
Published: (2022-05-01) -
Generalized Steffensen’s Inequality by Fink’s Identity
by: Asfand Fahad, et al.
Published: (2019-04-01) -
Bellman–Steffensen type inequalities
by: Julije Jakšetić, et al.
Published: (2018-10-01) -
Generalized Steffensen’s inequality by Montgomery identity
by: Saad Ihsan Butt, et al.
Published: (2019-07-01) -
Explicit, Determinantal, and Recurrent Formulas of Generalized Eulerian Polynomials
by: Yan Wang, et al.
Published: (2021-03-01)