Weighted Ostrowski's Type Integral Inequalities for Mapping Whose Second Derivative is Bounded

Arslan, Muhammad; MUSTAFA>, Muhammad Amir; FAHAD>, Shah; Waheed, Irfan; Qayyum, Ather

doi:10.32323/ujma.1151207

Universal Journal of Mathematics and Applications

2022

DOI: 10.32323/ujma.1151207

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Weighted Ostrowski's Type Integral Inequalities for Mapping Whose Second Derivative is Bounded

Muhammad Arslan

Muhammad Amir MUSTAFA>

Shah FAHAD>

et al.

Abstract: The aim of this paper is to concentrate on the domain of L_{∞}, L_{p}, and L₁ norms of inequalities and their applications for some special weight functions. For different weights some previous results are recaptured. Applications are also discussed.

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2024

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Parametrized multiplicative integral inequalities

Frioui,

Meftah,

Shokri

et al. 2024

Adv Cont Discr Mod

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In this paper, we introduce a biparametrized multiplicative integral identity and employ it to establish a collection of inequalities for multiplicatively convex mappings. These inequalities encompass several novel findings and refinements of established results. To enhance readers’ comprehension, we offer illustrative examples that highlight appropriate choices of multiplicatively convex mappings along with graphical representations. Finally, we demonstrate the applicability of our results to special means of real numbers within the realm of multiplicative calculus.

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Parametrized multiplicative integral inequalities

Frioui,

Meftah,

Shokri

et al. 2024

Adv Cont Discr Mod

View full text Add to dashboard Cite

show abstract

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Weighted Ostrowski's Type Integral Inequalities for Mapping Whose Second Derivative is Bounded

Abstract: The aim of this paper is to concentrate on the domain of L_{∞}, L_{p}, and L₁ norms of inequalities and their applications for some special weight functions. For different weights some previous results are recaptured. Applications are also discussed.

Cited by 1 publication

References 14 publications

Parametrized multiplicative integral inequalities

Parametrized multiplicative integral inequalities

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