Generalisation of Companion of Ostrowski’s Type Inequality Via Riemann-Liouville Fractional Integral for Mappings whose 1st Derivatives are Bounded with Applications
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Authors: F. MEHMOOD, A. R. KHAN, M. A. SHAIKH AND M. W. ALOMARI
DOI: 10.46793/KgJMat2602.273M
Abstract:
We apply Riemann-Liouville fractional integral to get generalisation of companion of Ostrowski’s type integral inequality for differentiable mappings whose 1st derivatives are bounded. The present article recapture all results of M. W. Alomari’s article and also for one more article of different authors. Applications are also deduced for numerical integration, probability theory and special means.
Keywords:
Fractional Calculus, Riemann-Liouville fractional integral operator, Ostrowski’s inequality, Grüss inequality, Differentiable mapping, Bounded mapping, Numerical integration, Probability density function, Special means.
References:
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