Some New Results of Mitrinovi<i>ć–</i>Cusa’s and Related Inequalities Based on the Interpolation and Approximation Method

<div>Maximum errors between <svg height="11.5564pt" id="M186" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 128.112 11.5564" width="128.112pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.738,0)"><path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 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270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> and its bounds (Huygens’ inequality).</div>

Journal of Mathematics

tab3

Table 3

Table 3: Some New Results of Mitrinovi<i>ć–</i>Cusa’s and Related Inequalities Based on the Interpolation and Approximation Method 

Journal of Mathematics

Some New Results of Mitrinović–Cusa’s and Related Inequalities Based on the Interpolation and Approximation Method

Table 3