Anderson's inequality on time scales

نویسندگان

Fu-Hsiang Wong

Shiueh-Ling Yu

Cheh-Chih Yeh

چکیده

We establish Anderson’s inequality on time scales as follows: ∫ 1 0 ( n ∏ i=1 f σ i (t) ) t ≥ (∫ 1 0 (t + σ(t))n t )( n ∏ i=1 ∫ 1 0 fi (t) t ) ≥ ( 2n ∫ 1 0 tn t )( n ∏ i=1 ∫ 1 0 fi (t) t ) if fi (i = 1, . . . , n) satisfy some suitable conditions. c © 2005 Elsevier Ltd. All rights reserved.

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