2021
DOI: 10.1002/mma.7955
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Diamond alpha Bennett‐Leindler type dynamic inequalities and their applications

Abstract: In this paper, two kinds of dynamic Bennett-Leindler type inequalities via the diamond alpha integrals are derived. The first kind consists of eight new integral inequalities which can be considered as mixed type in the sense that these inequalities contain delta, nabla and diamond alpha integrals together due to the fact that convex linear combinations of delta and nabla Bennett-Leindler type inequalities give diamond alpha Bennett-Leindler type inequalities. The second kind involves four new inequalities, wh… Show more

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Cited by 7 publications
(1 citation statement)
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“…Bohner and Peterson (2001) is one of the most important books that explains the significant part of this calculus. The following articles show the results on the dynamic equations in time scale calculus; Akın and Bohner (2003), Akın et al (2020), Anderson (2005), Kayar et al (2022), Kayar and Kaymakçalan (2022a) and Kayar and Kaymakçalan (2022b). In the literature, many different kinds of calculus were defined.…”
Section: Introductionmentioning
confidence: 99%
“…Bohner and Peterson (2001) is one of the most important books that explains the significant part of this calculus. The following articles show the results on the dynamic equations in time scale calculus; Akın and Bohner (2003), Akın et al (2020), Anderson (2005), Kayar et al (2022), Kayar and Kaymakçalan (2022a) and Kayar and Kaymakçalan (2022b). In the literature, many different kinds of calculus were defined.…”
Section: Introductionmentioning
confidence: 99%