| عنوان مجله
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General Mathematics Notes
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| کلیدواژهها
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Non-additive measure, Chebyshev type inequality, Pseudo-
addition, Pseudo-multiplication, Pseudo-integral.
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| چکیده
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In this paper, generalizations of the well-known Chebyshev type integral
inequalities for pseudo-integrals are proved. Two cases are considered of the
real semiring with pseudo-operations: One, when pseudo-operations are de ned
by monotone and continuous function g (then the pseudo-integrals reduces g-
integral), and the second with a semiring ([a; b]; max;⊙); where the pseudo-
multiplication ⊙ is generated.
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