Articles with "new integral" as a keyword



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Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions

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Published in 2020 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-020-02437-2

Abstract: In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontinuities are of non-Lipschitz type. New lower bounds… read more here.

Keywords: wendorff type; new integral; type discontinuous; integral inequalities ... See more keywords
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A new q-integral identity and estimation of its bounds involving generalized exponentially μ-preinvex functions

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Published in 2020 at "Advances in Difference Equations"

DOI: 10.1186/s13662-020-03036-7

Abstract: In the article, we introduce the generalized exponentially μ -preinvex function, derive a new q -integral identity for second order q -differentiable function, and establish several new q -trapezoidal type integral inequalities for the function… read more here.

Keywords: new integral; integral identity; generalized exponentially; exponentially preinvex ... See more keywords
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On a New Integral Inequality: Generalizations and Applications

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms11090458

Abstract: In this paper, we present some generalizations and improvements of a new integral inequality from the 29th IMC in 2022. Some applications of our new results are also provided. read more here.

Keywords: new integral; generalizations applications; inequality generalizations; integral inequality ... See more keywords