• Title/Summary/Keyword: co-ordinated convex functions

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ON SOME NEW FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX AND CO-ORDINATED CONVEX FUNCTIONS

  • Ali, Muhammad Aamir;Budak, Huseyin;Sakhi, Sadia
    • Korean Journal of Mathematics
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    • v.28 no.4
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    • pp.955-971
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    • 2020
  • In this study, some new inequalities of Hermite-Hadamard type for convex and co-ordinated convex functions via Riemann-Liouville fractional integrals are derived. It is also shown that the results obtained in this paper are the extension of some earlier ones.

ON HERMITE-HADAMARD-TYPE INEQUALITIES FOR DIFFERENTIABLE QUASI-CONVEX FUNCTIONS ON THE CO-ORDINATES

  • Chen, Feixiang
    • Journal of applied mathematics & informatics
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    • v.32 no.3_4
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    • pp.303-314
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    • 2014
  • In this paper, a new lemma is established and several new inequalities for differentiable co-ordinated quasi-convex functions in two variables which are related to the left-hand side of Hermite-Hadamard type inequality for co-ordinated quasi-convex functions in two variables are obtained.