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On Steffensen inequality in $p$-calculus

Milad Yadollahzadeh|Mehdi Tourani|Gholamreza Karamali
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.09|한국수학논문집 (Korean Journal of Mathematics)|제27권 제3호|pp. 803-817

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참고문헌

키워드

p-derivativep-integralSteffensen inequality
주제분류수학

초록

In this paper, we provide a new version of Steffensen inequality for $p$-calculus analogue in [17,18] which is a generalization of previous results. Also, the conditions for validity of reverse to $p$-Steffensen inequalities are given. Lastly, we will obtain a generalization of $p$-Steffensen inequality to the case of monotonic functions.

Abstract

In this paper, we provide a new version of Steffensen inequality for $p$-calculus analogue in [17,18] which is a generalization of previous results. Also, the conditions for validity of reverse to $p$-Steffensen inequalities are given. Lastly, we will obtain a generalization of $p$-Steffensen inequality to the case of monotonic functions.

참고문헌 (21)

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