Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and $ p $-convex mappings
Copyright policy )Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and $ p $-convex mappings
We use the definition of a fractional integral operators, recently introduced by Katugampola, to establish a parameterized identity associated with differentiable mappings. The identity is then used to derive the estimates of upper bound for mappings whose first derivatives absolute values are p-convex mappings. Four examples are also provided to illustrate the obtained results.
- China Three Gorges University China (People's Republic of)
- Hunan Women'S University China (People's Republic of)
\(p\)-convex mappings, Inequalities involving derivatives and differential and integral operators, Hadamard fractional integrals, hadamard fractional integrals, riemann–liouville fractional integrals, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, QA1-939, Inequalities for sums, series and integrals, p-convex mappings, Riemann-Liouville fractional integrals, Mathematics
\(p\)-convex mappings, Inequalities involving derivatives and differential and integral operators, Hadamard fractional integrals, hadamard fractional integrals, riemann–liouville fractional integrals, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, QA1-939, Inequalities for sums, series and integrals, p-convex mappings, Riemann-Liouville fractional integrals, Mathematics
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