±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 282  |  »Ø¸´: 2

yuxihu

Í­³æ (СÓÐÃûÆø)

[½»Á÷] ¡¾ÇóÖú¡¿Çë½ÌÒ»¸öÎÊÌâµÄÖ¤Ã÷

ÎÊÌâÊÇÕâÑùµÄ£¬Èôº¯Êýg(t) ÊôÓÚ C^1(0,\infty) ½»ÉÏ L^1(0,\infty) ²¢ÇÒ sup_{t >0}|\partial_t g| < \infty  Ö¤Ã÷  µ±t Ç÷ÓÚ \infty ʱ g(t)Ç÷ÓÚ0¡£  Ð»Ð»
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

×ÊÔ´¹²Ïí
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

jfili

½ð³æ (ÕýʽдÊÖ)

yuxihu(½ð±Ò+10): 2010-10-07 17:12:19
¶ÔÈÎÒâm>n>0,
|g^2(m)-g^2(n)|
\leq 2\int_n^m g(t)g'(t)dt
\leq 2\sup_t|g'|\int_n^m |g(t)|dt

ÓÉÓÚsup_t|g'|
ËùÒÔ g^2(t) ÔÚÎÞÇîÔ¶´¦Óм«ÏÞ

ÈÝÒ×Ö¤µÃ¼«ÏÞΪ0£¬·ñÔòÓëg\in L^1 ì¶Ü
2Â¥2010-10-05 13:23:19
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

yuxihu

Í­³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
Originally posted by jfili at 2010-10-05 13:23:19:
¶ÔÈÎÒâm>n>0,
|g^2(m)-g^2(n)|
\leq 2\int_n^m g(t)g'(t)dt
\leq 2\sup_t|g'|\int_n^m |g(t)|dt

ÓÉÓÚsup_t|g'|
ËùÒÔ g^2(t) ÔÚÎÞÇîÔ¶´¦Óм« ...

¶÷£¬À÷º¦£¬Ð»Ð»°¡
×ÊÔ´¹²Ïí
3Â¥2010-10-05 16:45:52
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ yuxihu µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] ²ÄÁÏÓ뻯¹¤272Çóµ÷¼Á +16 °¢Ë¹µÙ·Ò2004 2026-03-28 16/800 2026-03-29 22:57 by tantai88888
[¿¼ÑÐ] 327Çóµ÷¼Á +3 С¿¨²»¿¨. 2026-03-29 3/150 2026-03-29 22:29 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] ²ÄÁÏÓ뻯¹¤328·Öµ÷¼Á +7 ¡££¬¡££¬¡££¬¡£i 2026-03-23 7/350 2026-03-29 20:58 by ÌÆãå¶ù
[¿¼ÑÐ] µ÷¼Á310 +12 ÎÂÈáµÄÍí°² 2026-03-25 13/650 2026-03-29 20:01 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] Ò»Ö¾Ô¸211£¬335·Ö£¬0856£¬Çóµ÷¼ÁԺУºÍµ¼Ê¦ +5 Çã____Ïô 2026-03-27 6/300 2026-03-29 16:35 by ÌÆãå¶ù
[¿¼ÑÐ] Çóµ÷¼Á +9 ÕÅzz111 2026-03-27 10/500 2026-03-29 14:57 by ÌÆãå¶ù
[¿¼ÑÐ] ±¾¿ÆË«·Ç²ÄÁÏ£¬¿ç¿¼Ò»Ö¾Ô¸»ªµç085801µçÆø£¬283Çóµ÷¼Á£¬ÈκÎרҵ¶¼¿ÉÒÔ +6 ֥ʿѩbaoo 2026-03-28 8/400 2026-03-29 08:16 by ËÉ»¨¸×1201
[¿¼ÑÐ] 0856Çóµ÷¼Á +13 zhn03 2026-03-25 14/700 2026-03-29 08:13 by fmesaito
[¿¼ÑÐ] 330·ÖÇóµ÷¼Á +5 qzenlc 2026-03-29 5/250 2026-03-29 07:37 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] 0703»¯Ñ§µ÷¼Á£¬Çóµ¼Ê¦ÊÕ +9 ÌìÌìºÃÔËÀ´Éϰ¶° 2026-03-24 10/500 2026-03-28 22:17 by chemzp
[¿¼ÑÐ] Ò»Ö¾Ô¸Äϲý´óѧ324Çóµ÷¼Á +7 hanamiko 2026-03-27 7/350 2026-03-28 09:56 by ÀîÉϰ¶0921
[¿¼ÑÐ] ÕÅ·¼Ãú-Öйúũҵ´óѧ-»·¾³¹¤³Ìר˶-298 +4 ÊÖ»úÓû§ 2026-03-26 4/200 2026-03-28 07:17 by mmm just
[¿¼ÑÐ] 285Çóµ÷¼Á +4 AZMK 2026-03-27 7/350 2026-03-27 20:59 by AZMK
[¿¼ÑÐ] 348Çóµ÷¼Á +4 СÀÁ³æ²»ÀÁÁË 2026-03-27 5/250 2026-03-27 12:47 by ¹û¹ûÂèßä
[¿¼ÑÐ] Çóµ÷¼Á£¬Ò»Ö¾Ô¸ ÄϾ©º½¿Õº½Ìì´óѧ´óѧ £¬080500²ÄÁÏ¿ÆÑ§Ó빤³Ìѧ˶ +4 @taotao 2026-03-26 5/250 2026-03-27 08:10 by hypershenger
[¿¼ÑÐ] 351Çóµ÷¼Á +4 Âó¿Ë°¢ÀÚ 2026-03-24 4/200 2026-03-27 00:32 by wxiongid
[¿¼ÑÐ] »úеѧ˶310·Ö£¬ÊýÒ»Ó¢Ò»£¬Ò»Ö¾Ô¸211±¾¿ÆË«·ÇÕÒµ÷¼ÁÐÅÏ¢ +3 @357 2026-03-25 3/150 2026-03-26 16:34 by by.MENG
[¿¼ÑÐ] 281Çóµ÷¼Á +6 Koxui 2026-03-24 7/350 2026-03-26 15:37 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] 332Çóµ÷¼Á +6 032500 2026-03-25 6/300 2026-03-25 22:45 by 418490947
[¿¼ÑÐ] 302Çóµ÷¼Á +4 ½õÒÂÎÀÌÙ½· 2026-03-25 4/200 2026-03-25 16:29 by ¹¦·ò·è¿ñ
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û