Convexity Conditions for Generalized Riemann Derivable Functions |
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Authors: | S Mitra SN Mukhopadhyay |
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Institution: | (1) Department of Mathematics, The University of Burdwan, Burdwan, 713104, India |
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Abstract: | Several convexity theorems for generalized Riemann derivative are obtained. A generalized symmetric derivative is introduced which includes the usual symmetric Riemann derivative and with the help of this generalized symmetric derivative several other convexity theorems are established. A partial answer to a conjecture of Butzer and Kozakiewicz is given. |
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