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="M245" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 132.47 11.5564" width="132.47pt" 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="M285 378C315 398 338 416 353 432C373 451 384 474 384 503C384 579 325 635 236 635H235C182 635 136 610 108 579L65 516L85 496C110 533 150 575 205 575C258 575 300 543 300 481C300 407 232 369 141 339L147 310C163 315 188 321 211 321C268 321 338 284 338 192C338 94 288 40 217 40C160 40 119 68 93 91C85 98 77 97 69 91C60 84 47 71 46 58C44 46 48 35 62 22C75 10 116 -12 162 -12C234 -12 424 62 424 224C424 297 373 359 285 376V378Z"></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="M536 404C536 423 520 448 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270Z"></path></g><g transform="matrix(.013,0,0,-0.013,127.548,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> and its bounds (Neuman and S<svg height="9.76877pt" id="M246" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -9.56238 6.91582 9.76877 " width="6.91582pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,6.916,-.222)"><path d="M-116 651L-117 661C-125 670 -169 685 -182 685H-184L-307 542L-285 522L-116 651Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M483 97L471 123C436 91 401 65 392 65C388 65 384 74 390 106C414 239 444 378 457 429L455 433C444 433 429 436 416 439C392 444 368 448 344 448C281 448 204 415 152 376C71 315 23 205 23 103C23 21 57 -12 85 -12C114 -12 149 6 185 34C231 70 285 119 329 183H331L309 81C292 0 308 -12 326 -12C350 -12 421 24 483 97ZM374 387C370 363 356 291 345 261C315 193 181 50 139 50C124 50 110 71 110 118C110 224 153 331 218 379C238 394 271 402 301 402C329 402 359 394 374 387Z"></path></g></svg>ndor’s inequality).</div>

Journal of Mathematics

tab6

Table 6

Table 6: 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 6