Cauchy type mean-value theorems for mid-point and trapezoidal quadrature formulas (CROSBI ID 153603)
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Pečarić, Josip ; Rodić Lipanović, Mirna
engleski
Cauchy type mean-value theorems for mid-point and trapezoidal quadrature formulas
Some mean-value theorems of the Cauchy type were given in [J. E. Pečarić, I. Perić and H. M. Srivastava: A family of the Cauchy type mean-value theorems, J. Math. Anal. Appl. 306 (2005) 730-739.] and [J. E. Pečarić, M. Rodić Lipanović and H. M. Srivastava: Some mean-value theorems of the Cauchy type, Fract. Calc. Appl. Anal. 9, No. 2 (2006), 143-158.]. Following some of the results given in [J. E. Pečarić, I. Perić and H. M. Srivastava: A family of the Cauchy type mean-value theorems, J. Math. Anal. Appl. 306 (2005) 730-739.], a few similar interesting results are presented here.
Cauchy type mean-value theorems; Hermite-Hadamard inequality
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