how to obtain accepted solution views for a particular duraion(month)

Shivshankar - There doesn't seem any API parameter for this. You could utilize the OOTB component for this. Also, check out this page which gives you the required info. 

https://community.lithium.com/t5/solutions/acceptedsolutionsleaderboardpage/node-display-id/community%3Alithosphere/timerange/one_month 

Please note, this takes into account the last 30 days, last 6 months and so on.

I hope this helps.

VarunGrazitticustom component is not the requirement , we just need this view count. Is there any work aroung for this

Shivshankar : It is available in the Community Metrics. Kindly check this Document for more information.

If my post is helpful and answers your question, please give "Kudos" and "Accept it as a Solution."

Thanks & Regards,
Abhishek Illindra

Shivshankar 

Did you try this? 

select metrics.views from messages where is_solution=true and post_time > 2017-06-11T01:16:39.446-07:00 and post_time < 2017-07-11T01:16:39.446-07:00

 It will give you the views of solutions which are posted in last one month. 

But it would not be possible to set the time range about when they are accepted as a solution. 

VikasBok it's not possible altogether then , can we have some workaround using LSI api's ? i can see in LSI that it gives bulk data , can we just process it for a user, though in documentation i did not see data parameter for user , and its obvious as is bulk data api.