Some new integral inequalities for exponential type P-functions
Copyright policy )Some new integral inequalities for exponential type P-functions
In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the aouthors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.
exponential type convexity, Hermite-Hadamard inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, exponential type \(P\)-function, Convexity of real functions in one variable, generalizations
exponential type convexity, Hermite-Hadamard inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, exponential type \(P\)-function, Convexity of real functions in one variable, generalizations
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