On fractional biparameterized Newton-type inequalities

Wedad Saleh; Abdelghani Lakhdari; Thabet Abdeljawad; Badreddine Meftah

doi:10.1186/s13660-023-03033-w

On fractional biparameterized Newton-type inequalities

Wedad Saleh
, Abdelghani Lakhdari
, Thabet Abdeljawad^*
, Badreddine Meftah

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.

Original language	English
Article number	122
Journal	Journal of Inequalities and Applications
Volume	2023
Issue number	1
DOIs	https://doi.org/10.1186/s13660-023-03033-w
Publication status	Published - 2023
Externally published	Yes

Keywords

Biparameterized identity
Hölder and power mean inequalities
Newton-type inequalities
Riemann–Liouville operators
α-convex functions

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10.1186/s13660-023-03033-w

Cite this

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AB - In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.

KW - Biparameterized identity

KW - Hölder and power mean inequalities

KW - Newton-type inequalities

KW - Riemann–Liouville operators

KW - α-convex functions

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On fractional biparameterized Newton-type inequalities

Abstract

Keywords

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