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ÎÄÕÂÐÅÏ¢ÈçÏ RONG HU£¬Characterizations for vectorial prequasi-invex type functions via Jensen type inequalities£¬Journal of Mathematical Inequalities£¬ Volume 10, Number 1 (2016), 101¨C121 |
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cfx2002: ½ð±Ò+13 2016-07-15 12:38:20
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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 ²é¿´ÆÚ¿¯ÐÅÏ¢ ÕªÒª 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. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Jensen type inequalities; prequasi-invexity; semistrict prequasi-invexity; strict prequasi-invexity; lower level-closedness; cone lower semicontinuity; cone upper semicontinuity KeyWords Plus REINVEX FUNCTIONS; SEMICONTINUITY×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Hu, R (ͨѶ×÷Õß) ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ Chengdu Univ Informat Technol, Dept Appl Math, Chengdu 610225, Sichuan, Peoples R China. µØÖ·: ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ [ 1 ] Chengdu Univ Informat Technol, Dept Appl Math, Chengdu 610225, Sichuan, Peoples R China µç×ÓÓʼþµØÖ·:ronghumath@aliyum.com »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ National Science Foundation of China 11201042 Scientific Research Foundation of CUIT J201216 KYTZ201128 ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA Àà±ð / ·ÖÀà Ñо¿·½Ïò:Mathematics Web of Science Àà±ð:Mathematics, Applied; Mathematics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000378243500009 ISSN: 1846-579X ÆÚ¿¯ÐÅÏ¢ Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports® ÆäËûÐÅÏ¢ IDS ºÅ: DP1IK Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 14 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |
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¿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. ·¢×ÔСľ³æAndroid¿Í»§¶Ë |
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cfx2002
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Äܲ»ÄܰÑÕâ¸öµÄ¼ìË÷ÍøÒ³Ò²·¢¸øÎÒ£¬Ð»Ð»ÁË¡£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. ·¢×ÔСľ³æAndroid¿Í»§¶Ë |
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stone19111
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paperhunter: ½ð±Ò+2, ¹ÄÀø½»Á÷ 2016-07-17 22:29:42
paperhunter: ½ð±Ò+2, ¹ÄÀø½»Á÷ 2016-07-17 22:29:42
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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 ²é¿´ÆÚ¿¯ÐÅÏ¢ ÕªÒª 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. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Hermite-Hadamard inequality; convex function; Riemann-Liouville fractional integrals ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Chen, FX (ͨѶ×÷Õß) Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China. µØÖ·: [ 1 ] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China µç×ÓÓʼþµØÖ·:cfx2002@139.com »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ Youth Project of Chongqing Three Gorges University of China 13QN11 ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA Àà±ð / ·ÖÀà Ñо¿·½Ïò:Mathematics Web of Science Àà±ð:Mathematics, Applied; Mathematics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000378243500007 ISSN: 1846-579X ÆÚ¿¯ÐÅÏ¢ Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports® ÆäËûÐÅÏ¢ IDS ºÅ: DP1IK Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 9 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |
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10Â¥2016-07-15 13:29:26














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