A study of new quantum Montgomery identities and general Ostrowski like inequalities

Awan, Muhammad Uzair; Javed, Muhammad Zakria; Budak, Huseyin; Hamed, Y.S.; Ro, Jong-Suk

doi:10.1016/j.asej.2024.102683

Ain Shams Engineering Journal

2024

DOI: 10.1016/j.asej.2024.102683

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A study of new quantum Montgomery identities and general Ostrowski like inequalities

Muhammad Uzair Awan,

Muhammad Zakria Javed,

Huseyin Budak

et al.

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2024

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Cited by 1 publication

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Some Classical Inequalities Associated with Generic Identity and Applications

Javed,

Awan,

Bin-Mohsin

et al. 2024

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In this paper, we derive a new generic equality for the first-order differentiable functions. Through the utilization of the general identity and convex functions, we produce a family of upper bounds for numerous integral inequalities like Ostrowski’s inequality, trapezoidal inequality, midpoint inequality, Simpson’s inequality, Newton-type inequalities, and several two-point open trapezoidal inequalities. Also, we provide the numerical and visual explanation of our principal findings. Later, we provide some novel applications to the theory of means, special functions, error bounds of composite quadrature schemes, and parametric iterative schemes to find the roots of linear functions. Also, we attain several already known and new bounds for different values of γ and parameter ξ.

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Some Classical Inequalities Associated with Generic Identity and Applications

Javed,

Awan,

Bin-Mohsin

et al. 2024

Axioms

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show abstract

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A study of new quantum Montgomery identities and general Ostrowski like inequalities

Cited by 1 publication

References 34 publications

Some Classical Inequalities Associated with Generic Identity and Applications

Some Classical Inequalities Associated with Generic Identity and Applications

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