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Title

AN INVERS PROBLEME OF LYAPUNOV TYPE INEQUALITY FOR SUGENO INTEGRAL

Writers

SHAFILOO AMIR

Pages

 Start Page | End Page

Abstract

 INTEGRAL INEQUALITIES PLAY IMPORTANT ROLES IN CLASSICAL PROBABILITY AND MEASURE THEORY.SUGENOS INTEGRAL IS A USEFUL TOOL IN SEVERAL THEORETICAL AND APPLIED STATISTICS WHICH HAS BEEN BUILT ON NON-ADDITIVE MEASURE. LYAPUNOV TYPE INEQUALITIES FOR THE SUGENO INTEGRAL ON ABSTRACT SPACES ARE STUDIED IN A RATHER GENERAL FORM, THUS CLOSING THE SERIES OF PAPERS ON THE TOPIC DEALING WITH SPECIAL CASES RESTRICTED TO THE (PSEUDO-) ADDITIVE OPERATION. MOREOVER, A STRENGTHENED VERSION OF LYAPUNOV TYPE INEQUALITY FOR SUGENO INTEGRALS ON A REAL INTERVAL BASED ON A BINARY OPERATION* IS PRESENTED.

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