On the Jensen’s Inequality for Convex Functions on the Co-Ordinates in a Rectangle From the Plane

Milica Klaričić Bakula; ‎Josip Pečarić

doi:10.11650/twjm/1500557302

September 1, 2006Taiwanese Journal of MathematicsOpen Access

On the Jensen’s Inequality for Convex Functions on the Co-Ordinates in a Rectangle From the Plane

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Key Points

To establish and generalize Jensen-type inequalities for functions that exhibit convexity along coordinates across a planar rectangle.
Conducted mathematical deductions on coordinate convex functions defined on two-dimensional rectangular domains.
Extended existing mathematical frameworks and prior theorems established for coordinate convexity.
Formulated multiple generalized Jensen-type inequalities tailored to coordinate convex functions on the plane.
Demonstrated that the derived expressions encompass and generalize previous results in the literature.

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Implication

Theoretical analysis demonstrates Jensen-type inequalities for coordinate convex functions on planar rectangles, generalizing classical mathematical formulations.

Abstract

Several inequalities of Jensen's type for functions convex on the co-ordinates are given. Obtained results generalize the coresponding results of S.

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Bakula et al. (2006) studied this question.

synapsesocial.com/papers/6a7f5dd4285e1535b9e8f909 https://doi.org/10.11650/twjm/1500557302

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On the Jensen’s Inequality for Convex Functions on the Co-Ordinates in a Rectangle From the Plane

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

On the Jensen’s Inequality for Convex Functions on the Co-Ordinates in a Rectangle From the Plane

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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