Document Zbl 1484.26013

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<a href="/authors/akhtar.nousheen" title="Author Profile">Akhtar, Nousheen</a>; <a href="/authors/kashuri.artion" title="Author Profile">Kashuri, Artion</a>; <a href="/authors/noor.muhammad-aslam" title="Author Profile">Noor, Muhammad Aslam</a>; <a href="/authors/chu.yuming" title="Author Profile">Chu, Yu-Ming</a></div> <h2 class="title"> <strong>$2D$ approximately reciprocal $\rho$-convex functions and associated integral inequalities.</strong> <i>(English)</i> <a class="label nowrap" href="/1484.26013">Zbl 1484.26013</a> </h2> <div class="source"> <a href="/serials/8984" title="Journal Profile">AIMS Math.</a> <a href="/?q=in%3A480794" title="Articles in this Issue">5, No. 5, 4662-4680 (2020)</a>. </div> <div class="abstract">Summary: The main objective of this article is to introduce the notion of $2D$ approximately reciprocal $\rho $-convex functions, show that this class of functions unifies several other unrelated classes of reciprocal convex functions, obtain several new refinements of the Hermite-Hadamard type inequalities involving $2D$ approximately reciprocal $\rho $-convex functions, provide some bounds pertaining to the trapezium like inequalities by using partial differentiable $2D$ approximately reciprocal $\rho $-convex functions, and discuss the special cases of the obtained results.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7512967">Cited in <strong>30</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A26A51" title="MSC2020">26A51</a> </td> <td class="space"> Convexity of real functions in one variable, generalizations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A26D10" title="MSC2020">26D10</a> </td> <td class="space"> Inequalities involving derivatives and differential and integral operators </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A26D15" title="MSC2020">26D15</a> </td> <td class="space"> Inequalities for sums, series and integrals </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aconvex">convex</a>; <a href="/?q=ut%3Areciprocal">reciprocal</a>; <a href="/?q=ut%3Aapproximately">approximately</a>; <a href="/?q=ut%3AHermite-Hadamard+inequality">Hermite-Hadamard inequality</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1484.26013" data-ciurl="/ci/07512967" data-biburl="/bibtex/07512967.bib" data-amsurl="/amsrefs/07512967.bib" data-xmlurl="/xml/07512967.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07512967.pdf" title="Zbl 1484.26013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/math.2020299" aria-label="DOI for “$2D$ approximately reciprocal $\rho$-convex functions and associated integral inequalities”" title="10.3934/math.2020299">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">M. 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