On some new generalized fractional Bullen-type inequalities with applications
Sabir Hussain, Sobia Rafeeq, Yu‐Ming Chu, Saba Khalid, Sahar Saleem
Abstract
Abstract In this paper, we establish a Bullen-type generalized fractional integral identity for the differentiable functions and derive some new estimates for the Bullen-type fractional integral inequalities via the Raina fractional integrals. Further examples are given to indicate the validity of obtained results. Lastly, some error estimates for the quadrature rules are provided, and to find applications for our results to information theory, we proved a new generalization based on f -divergence measure.
Topics & Concepts
MathematicsGeneralizationDifferentiable functionType (biology)Quadrature (astronomy)Fractional calculusApplied mathematicsDivergence (linguistics)Pure mathematicsMathematical analysisEcologyPhilosophyLinguisticsElectrical engineeringBiologyEngineeringMathematical Inequalities and ApplicationsMathematical functions and polynomialsFractional Differential Equations Solutions