Volume 16, Issue 4 Phakhinkon Napp Phunphayap Tammatada Khemaratchatakumthorn Nat Sothanaphan Kritkhajohn Onphaeng Watcharakiete Wongcharoenbhorn Patcharee Sumritnorrapong Prapanpong Pongsriiam Combinatorial inequalities arising from the inclusion-exclusion principle Downloads Abstract PDF Full article PDF DOI { copied = true; setTimeout(() => copied = false, 2000) })" :aria-label="copied ? 'DOI copied' : 'Copy DOI'" :title="copied ? 'Copied' : 'Copy DOI'" > Find all available articles from these authors Phakhinkon Napp Phunphayap Tammatada Khemaratchatakumthorn Nat Sothanaphan Kritkhajohn Onphaeng Watcharakiete Wongcharoenbhorn Patcharee Sumritnorrapong Prapanpong Pongsriiam Find more articles with the same keywords Hlawka's inequality Popoviciu's inequality triangle inequality inclusion-exclusion principle Find more articles with the same subject classes 26D15 05A20 26D07