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Simpson's and Newton's type quantum integral inequalities for preinvex functions

Mujahid Abbas|Muhammad Aamir Ali|Mubarra Sehar|Ghulam Murtaza
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.03|한국수학논문집 (Korean Journal of Mathematics)|제29권 제1호|pp. 193-209

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참고문헌

키워드

Simpson's inequalities$q$-integral$q$-derivativepreinvex function.
주제분류수학

초록

In this research, we offer two new quantum integral equalities for recently defined $q^{\varepsilon _{2}}$-integral and derivative, the derived equalities then used to prove quantum integral inequalities of Simpson's and Newton's type for preinvex functions. We also considered the special cases of established results and offer several new and existing results inside the literature of Simpson's and Newton's type inequalities.

Abstract

In this research, we offer two new quantum integral equalities for recently defined $q^{\varepsilon _{2}}$-integral and derivative, the derived equalities then used to prove quantum integral inequalities of Simpson's and Newton's type for preinvex functions. We also considered the special cases of established results and offer several new and existing results inside the literature of Simpson's and Newton's type inequalities.

참고문헌 (35)

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