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CHARACTERIZATIONS FOR VECTORIAL PREQUASI-INVEX TYPE FUNCTIONS VIA JENSEN TYPE INEQUALITIES
×÷Õß:Hu, R (Hu, Rong)[ 1 ]
JOURNAL OF MATHEMATICAL INEQUALITIES
¾í: 10  ÆÚ: 1  Ò³: 101-121
DOI: 10.7153/jmi-10-09
³ö°æÄê: MAR 2016
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The purpose of this paper is to derive some criteria for vectorial prequasi-invex type functions via Jensen type inequalities. It is shown that a Jensen type inequality is sufficient and necessary for a vector function to be prequasi-invex under the condition of lower level-closedness, cone lower semicontinuity, cone upper semicontinuity and semistrict prequasi-invexity, respectively. Analogous results are established for vectorial semistrictly prequasi-invex functions and vectorial strictly prequasi-invex functions.
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×÷Õ߹ؼü´Ê:Jensen type inequalities; prequasi-invexity; semistrict prequasi-invexity; strict prequasi-invexity; lower level-closedness; cone lower semicontinuity; cone upper semicontinuity
KeyWords PlusREINVEX FUNCTIONS; SEMICONTINUITY
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ͨѶ×÷ÕßµØÖ·: Hu, R (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Chengdu Univ Informat Technol, Dept Appl Math, Chengdu 610225, Sichuan, Peoples R China.
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µç×ÓÓʼþµØÖ·:ronghumath@aliyum.com
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7Â¥: Originally posted by stone19111 at 2016-07-15 12:35:04
CHARACTERIZATIONS FOR VECTORIAL PREQUASI-INVEX TYPE FUNCTIONS VIA JENSEN TYPE INEQUALITIES
×÷Õß:Hu, R (Hu, Rong)
JOURNAL OF MATHEMATICAL INEQUALITIES
¾í: 10  ÆÚ: 1  Ò³: 101-121
DOI: 10.7153/jmi-1 ...

¿ÉÒÔÔÙ²éһƪÂ𣿷dz£¸Ðл£¬ÎÄÕÂÐÅÏ¢ÈçÏ£¬Feixiang Chen, Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals£¬Journal of Mathematical Inequalities£¬Volume 10, Number 1 (2016), 75¨C81.

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8Â¥: Originally posted by cfx2002 at 2016-07-15 12:40:59
¿ÉÒÔÔÙ²éһƪÂ𣿷dz£¸Ðл£¬ÎÄÕÂÐÅÏ¢ÈçÏ£¬Feixiang Chen, Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals£¬Journal of Mathematical Inequalities£¬Volume 10, N ...

EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
×÷Õß:Chen, FX (Chen, Feixiang)[ 1 ]
JOURNAL OF MATHEMATICAL INEQUALITIES
¾í: 10  ÆÚ: 1  Ò³: 75-81
DOI: 10.7153/jmi-10-07
³ö°æÄê: MAR 2016
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The main aim of this paper is to give extension and refinement of the Hermite-Hadamard inequality for convex functions via Riemann-Liouville fractional integrals. We show how to relax the convexity property of the function f. Obtained results in this work involve a larger class of functions.
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×÷Õ߹ؼü´Ê:Hermite-Hadamard inequality; convex function; Riemann-Liouville fractional integrals
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ͨѶ×÷ÕßµØÖ·: Chen, FX (ͨѶ×÷Õß)
              Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China.
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              [ 1 ] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China
µç×ÓÓʼþµØÖ·:cfx2002@139.com
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ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA
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Èë²ØºÅ: WOS:000378243500007
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