Approximation Theorem for New Modification of <span class="nowrap"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.5268pt" id="M1" height="12.3952pt" version="1.1" viewBox="-0.0657574 -7.8684 8.58866 12.3952" width="8.58866pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-114" d="M474 429L457 433C435 440 389 448 367 448C348 448 323 446 309 443C266 434 195 406 148 366C78 307 23 210 23 101C23 35 55 -12 92 -12C118 -12 146 1 196 35C247 70 311 130 346 173H348L281 -148C268 -211 256 -221 208 -229L191 -232L187 -257L433 -245L437 -219L411 -216C357 -210 350 -205 362 -140L427 207C447 315 461 381 474 429ZM387 387C379 337 363 262 355 236C318 180 201 57 142 57C126 57 112 81 112 128C112 205 150 321 220 376C244 395 280 403 312 403C345 403 370 396 387 387Z"/></g></svg>-</span>Bernstein Operators on (0,1)

<div>Error of approximation <span class="nowrap"><svg height="15.7437pt" id="M296" style="vertical-align:-4.6847pt" version="1.1" viewbox="-0.0498162 -11.059 86.495 15.7437" width="86.495pt" 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="M162 -163V703H101V-163H162Z"></path></g><g transform="matrix(.013,0,0,-0.013,3.419,0)"><path d="M644 408C714 434 749 483 749 555C749 596 732 631 697 660C663 689 615 704 553 704L426 604H424C387 657 322 695 246 695C194 695 150 681 114 653C79 626 61 588 61 540C61 508 78 479 93 463L128 433C160 408 175 390 175 350C175 311 136 281 100 269L109 247C154 258 192 278 225 307S275 368 275 401C275 521 160 504 160 597C160 634 186 664 226 664C293 664 340 574 340 431C340 296 306 211 237 174H227C191 174 157 161 126 134C95 108 69 78 48 44L68 30C87 63 124 79 178 79C198 79 218 71 227 63C238 56 263 34 275 25C322 -11 368 -24 452 -24C540 -24 616 -1 679 46S774 150 774 217C774 297 727 373 644 406V408ZM632 531C632 463 598 385 455 379C462 408 465 436 465 465C465 501 459 537 446 573C468 595 484 609 495 616S521 627 539 627C568 627 591 617 607 596C624 575 632 554 632 531ZM282 163C330 193 366 220 389 244C412 269 431 301 446 342C459 346 473 348 486 348C531 348 570 334 603 305C637 277 654 242 654 199C654 96 609 25 524 25C495 25 457 43 409 80C400 88 370 113 354 124C339 136 310 152 282 160V163Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,14.105,-6.844)"><path d="M481 430L460 436C440 442 393 451 366 451C348 451 325 448 313 446C267 437 195 409 147 367C79 308 24 211 24 105C24 37 56 -12 93 -12C121 -12 156 1 199 32C246 66 313 122 349 168H351L286 -147C274 -205 261 -215 210 -224L199 -226L193 -255L438 -243L442 -214L417 -212C364 -208 359 -200 370 -140L433 204C455 324 469 389 481 430ZM391 385C382 336 366 260 358 238C321 178 209 59 143 59C129 59 115 83 115 131C115 207 152 317 220 373C243 392 282 403 314 403C348 403 374 395 391 385Z"></path></g><g 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Journal of Function Spaces

fig2

Figure 2

Figure 2: Approximation Theorem for New Modification of <span class="nowrap"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.5268pt" id="M1" height="12.3952pt" version="1.1" viewBox="-0.0657574 -7.8684 8.58866 12.3952" width="8.58866pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-114" d="M474 429L457 433C435 440 389 448 367 448C348 448 323 446 309 443C266 434 195 406 148 366C78 307 23 210 23 101C23 35 55 -12 92 -12C118 -12 146 1 196 35C247 70 311 130 346 173H348L281 -148C268 -211 256 -221 208 -229L191 -232L187 -257L433 -245L437 -219L411 -216C357 -210 350 -205 362 -140L427 207C447 315 461 381 474 429ZM387 387C379 337 363 262 355 236C318 180 201 57 142 57C126 57 112 81 112 128C112 205 150 321 220 376C244 395 280 403 312 403C345 403 370 396 387 387Z"/></g></svg>-</span>Bernstein Operators on (0,1) 

Journal of Function Spaces

Approximation Theorem for New Modification of -Bernstein Operators on (0,1)

Figure 2