Weighted Ostrowski Integral Inequality for Mappings of Bounded Variation

Tseng, Kuei-Lin; Hwang, Shiow-Ru; Yang, Gou-Sheng; Chou, Yi-Ming

doi:10.11650/twjm/1500406222

Cited by 15 publications

(8 citation statements)

References 7 publications

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“…In the literature, many studies were devoted to new versions of Ostrowski-type inequalities for functions of bounded variation. For some of them, please refer to [30][31][32][33][34][35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

On Some New Fractional Ostrowski- and Trapezoid-Type Inequalities for Functions of Bounded Variations with Two Variables

et al. 2021

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In this paper, we first prove three identities for functions of bounded variations. Then, by using these equalities, we obtain several trapezoid- and Ostrowski-type inequalities via generalized fractional integrals for functions of bounded variations with two variables. Moreover, we present some results for Riemann–Liouville fractional integrals by special choice of the main results. Finally, we investigate the connections between our results and those in earlier works. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role.

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Section: Introductionmentioning

confidence: 99%

On Some New Fractional Ostrowski- and Trapezoid-Type Inequalities for Functions of Bounded Variations with Two Variables

et al. 2021

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“…[17]. Recently, in [2,3,20] the authors proved a generalization of weighted Ostrowski type inequality for mappings of bounded variation. The purpose of this paper is to obtain some weighted integral inequalities, which not only provide a weighted form of Theorem 5, but also give some other interesting inequalities as special cases.…”

Section: Introductionmentioning

confidence: 99%

On generalization of weighted Ostrowski type inequalities for functions of bounded variation

Budak

Sarıkaya

2018

Asian-European J. Math.

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“…, , a b then we have the inequality: For some recent results connected with functions of bounded variation see [1,2,3,4,6,8,[10][11][12][13][14][15][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%