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2016•Journal of Inequalities and ApplicationsOpen access

Some generalized Riemann-Liouville k-fractional integral inequalities

Praveen Agarwal, Jessada Tariboon, Sotiris K. Ntouyas

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Abstract

The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k -fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.

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What this paper is about

The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k -fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.

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OpenAlex reports 51 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k -fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.

Key concepts: Mathematics, Riemann integral, Daniell integral, Type (biology), Inequality, Pure mathematics, Fractional calculus, Operator (biology)

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