{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:35Z","timestamp":1740134555745,"version":"3.37.3"},"reference-count":21,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61173123","Z1110551","LY12F02012","2012YZ06"],"award-info":[{"award-number":["61173123","Z1110551","LY12F02012","2012YZ06"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang 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value<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>p<\/mml:mi><\/mml:mrow><\/mml:math>such that the inequality<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>P<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>b<\/mml:mi><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><mml:mo>&gt;<\/mml:mo><mml:msub><mml:mi>L<\/mml:mi><mml:mi>p<\/mml:mi><\/mml:msub><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>b<\/mml:mi><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>holds for all<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>a<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>b<\/mml:mi><mml:mo>&gt;<\/mml:mo><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:math>with<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>a<\/mml:mi><mml:mo>\u2260<\/mml:mo><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:math>, where<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi>P<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>b<\/mml:mi><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:msub><mml:mi>L<\/mml:mi><mml:mi>p<\/mml:mi><\/mml:msub><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>b<\/mml:mi><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>denote the Seiffert and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mrow><mml:mi>p<\/mml:mi><\/mml:mrow><\/mml:math>th generalized logarithmic means of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\"><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M9\"><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:math>, respectively.<\/jats:p>","DOI":"10.1155\/2013\/273653","type":"journal-article","created":{"date-parts":[[2013,3,24]],"date-time":"2013-03-24T17:00:42Z","timestamp":1364144442000},"page":"1-5","source":"Crossref","is-referenced-by-count":0,"title":["Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean"],"prefix":"10.1155","volume":"2013","author":[{"given":"Ying-Qing","family":"Song","sequence":"first","affiliation":[{"name":"School of Mathematics and Computation Sciences, Hunan City University, Yiyang, Hunan 413000, China"}]},{"given":"Wei-Mao","family":"Qian","sequence":"additional","affiliation":[{"name":"School of Distance Education, Huzhou Broadcast and TV University, Huzhou, Zhejiang 313000, China"}]},{"given":"Yun-Liang","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Information & Engineering, Huzhou Teachers College, Huzhou, Zhejiang 313000, China"}]},{"given":"Yu-Ming","family":"Chu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computation Sciences, Hunan City University, Yiyang, Hunan 413000, China"}]}],"member":"311","reference":[{"issue":"2","key":"1","first-page":"176","volume":"11","year":"1993","journal-title":"Nieuw Archief voor Wiskunde (4)"},{"issue":"2","key":"2","first-page":"253","volume":"14","year":"2003","journal-title":"Mathematica Pannonica"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2012.10.091"},{"issue":"4","key":"4","first-page":"593","volume":"6","year":"2012","journal-title":"Journal of Mathematical 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