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2000 Mathematics Subject Classification: Primary 26A24, 26D15; Secondary 41A05
Some mean-value theorems of the Cauchy type, which are connected
with Jensen’s inequality, are given in [2] in discrete form and in [5] in integral
form. Several further generalizations and applications of these results are
presented here.
The object of the present paper is to illustrate the usefulness, in the theory of analytic functions, of various linear operators which are defined in terms of (for example) fractional derivatives and fractional integrals, Hadamard product or convolution, and so on.
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