Some new general integral inequalities for P-functions
Imdat Iscan, Erhan Set, M. Emin Ozdemir
TL;DR
This paper introduces new integral inequalities for P-functions, providing refined estimates for classical numerical integration formulas and exploring applications to special means of real numbers.
Contribution
It presents novel bounds for the remainder terms of midpoint, trapezoid, and Simpson formulas involving P-functions, extending existing inequalities.
Findings
New inequalities for P-functions derived
Improved estimates for classical numerical integration formulas
Applications to special means of real numbers
Abstract
In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real numbers are also given.
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