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Some New Hermite–Hadamard–Type Inequalities Using the Erdélyi–Kober Fractional Integral Operator for Mappings Defined on Harmonic Sets With Applications to Error Estimates of Numerical Integration Formulas

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we establish several new variants of the Hermite–Hadamard integral inequality, together with various product‐type extensions, by employing the Erdélyi–Kober fractional integral operator for mappings defined on harmonic sets. To demonstrate the validity and effectiveness of the obtained results, we present nontrivial numerical examples ...
Yahya Almalki +5 more
wiley +1 more source

Sufficient optimality conditions for semi-infinite multiobjective fractional programming under (Ф,ρ)-V-invexity and generalized (Ф,ρ)-V-invexity

, 2016
A new class of nonconvex smooth semi-infinite multiobjective fractional programming problems with both inequality and equality constraints is considered.
Tadeusz Antczak
core +1 more source

The Sufficiency of Solutions for Non-smooth Minimax Fractional Semi-Infinite Programming with (B_K,ρ)−Invexity

Mathematics, 2023
Minimax fractional semi-infinite programming is an important research direction for semi-infinite programming, and has a wide range of applications, such as military allocation problems, economic theory, cooperative games, and other fields.
Hong Yang, Angang Cui
doaj +1 more source

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
wiley +1 more source

On Ratio Invexity in Mathematical Programming

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Zulfiqar A., Hanson, Morgan A.
openaire +1 more source

Effect of Educational and Behavioral Interventions on Medication‐Overuse Headache: A Systematic Review and Meta‐Analysis

Pain Research and Management, Volume 2026, Issue 1, 2026.
Background Medication‐overuse headache (MOH) is a disabling secondary headache arising from frequent acute medication intake in individuals with preexisting primary headache. Behavioral and psychosocial factors may perpetuate medication overuse.
Pannathat Soontrapa +4 more
wiley +1 more source

The e -Optimality Conditions for Multiple Objective Fractional Programming Problems for Generalized <img width=80 height=33 id="_x0000_i1036" src="http:/fbpe/img/cubo/v14n2/art01-01.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art01-01.jpg">- Invexity of Higher Order</a> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Cubo</i>, 2012 </span><br><span class="r_content">Motivado por investigaciones recientes en la literatura, se introduce un marco general para una clase de funciones -invex n-set de orden superior y se exploran algunos resultados sobre condiciones de epsilon-optimalidad para objetivos multiples ...</span><br><span class="r_sub"><i>Ram U Verma</i></span><br><small><a href="https://doaj.org/article/8ac2078423144fe98723c68f17488db5" target="_blank" rel="nofollow" title="doaj.org/article/8ac2078423144fe98723c68f17488db5">doaj</a> </small> <br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1016/j.padiff.2024.100999" target="_blank" rel="nofollow">Fractional Calculus Approach for Variational Problems: Characterization of Sufficient Optimality Conditions and Duality</a> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Partial Differential Equations in Applied Mathematics</i></span><br><span class="r_content">In this paper, we present a Wolfe-type dual model containing the Caputo-Fabrizio fractional derivative, weak and strong duality results, number of Kuhn-Tucker type sufficient optimality conditions and duality results for variational problems (VPs) with ...</span><br><span class="r_sub"><i>Ved Prakash Dubey<span id="ma_8" style="display:none">, Devendra Kumar, Jagdev Singh, Dumitru Baleanu</span> <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_8')">+3 more</a></small></i></span><br><small><a href="https://doaj.org/article/1ebc1539ed74463ca280dfe45746d8ee" target="_blank" rel="nofollow" title="doaj.org/article/1ebc1539ed74463ca280dfe45746d8ee">doaj</a> </small> <div id="more_8" style="display:none"><a href="/sci_redir.php?doi=10.1016%2Fj.padiff.2024.100999" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1016/j.padiff.2024.100999'); alert('Copied the doi');">copy doi</a> <small>(10.1016/j.padiff.2024.100999)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_8')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1006/jmaa.1995.1057" target="_blank" rel="nofollow">On Invex Sets and Preinvex Functions</a> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Journal of Mathematical Analysis and Applications</i>, 1995 </span><br><span class="r_content">Conditions are given when invex implies preinvex. This is generalized to prequasiinvex.</span><br><span class="r_sub"><i>Mohan, S.R., Neogy, S.K.</i></span><br><small><a href="https://explore.openaire.eu/search/publication?pid=10.1006%2Fjmaa.1995.1057" target="_blank" rel="nofollow" title="openaire.eu/search/publication?pid=10.1006%2Fjmaa.1995.1057">openaire</a> </small> <div id="more_9" style="display:none"><a href="/sci_redir.php?doi=10.1006%2Fjmaa.1995.1057" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="https://zbmath.org/765105" target="_blank" rel="nofollow" title="zbmath.org/765105">zbmath.org</a><br> <a href="javascript:navigator.clipboard.writeText('10.1006/jmaa.1995.1057'); alert('Copied the doi');">copy doi</a> <small>(10.1006/jmaa.1995.1057)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_9')">+2 more sources</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.2298/YJOR0901049B" target="_blank" rel="nofollow">Optimality and duality for a class of nondifferentiable minimax fractional programming problems</a> <b><a href="http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901049B.pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Yugoslav Journal of Operations Research</i>, 2009 </span><br><span class="r_content">Necessary and sufficient optimality conditions are established for a class of nondifferentiable minimax fractional programming problems with square root terms. Subsequently, we apply the optimality conditions to formulate a parametric dual problem and we </span><br><span class="r_sub"><i>Bătătorescu Antoan<span id="ma_10" style="display:none">, Beldiman Miruna, Antonescu Iulian, Ciumara Roxana</span> <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_10')">+3 more</a></small></i></span><br><small><a href="https://doaj.org/article/d6571fbc7d6f4a648c5e43135a08e59a" target="_blank" rel="nofollow" title="doaj.org/article/d6571fbc7d6f4a648c5e43135a08e59a">doaj</a> </small> <div id="more_10" style="display:none"><a href="/sci_redir.php?doi=10.2298%2FYJOR0901049B" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.2298/YJOR0901049B'); alert('Copied the doi');">copy doi</a> <small>(10.2298/YJOR0901049B)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_10')">+1 more source</a></small><br></div><div class="r"><div style="margin-bottom:2px;overflow:hidden"><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-mathematics/" class="suggestion"onclick="show_loader();"><b>mathematics</b></a><br/><a href="/q-duality/" class="suggestion"onclick="show_loader();"><b>duality</b></a><br/><a href="/q-optimality_conditions/" class="suggestion"onclick="show_loader();"><b>optimality conditions</b></a><br/></div><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-generalized_invexity/" class="suggestion"onclick="show_loader();"><b>generalized invexity</b></a><br/><a href="/q-duality_theorems/" class="suggestion"onclick="show_loader();"><b>duality theorems</b></a><br/><a href="/q-symmetric_duality/" class="suggestion"onclick="show_loader();"><b>symmetric duality</b></a><br/></div><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-probabilities/" class="suggestion"onclick="show_loader();"><b>probabilities</b></a><br/><a href="/q-mathematical_statistics/" class="suggestion"onclick="show_loader();"><b>mathematical statistics</b></a><br/></div></div></div><div class="pagenav"><a href="/q-invexity/p-5/" rel="nofollow"><b>previous</b></a> <a href="/q-invexity/p-4/" rel="nofollow">4</a> <a href="/q-invexity/p-5/" rel="nofollow">5</a> <b>6</b> <a href="/q-invexity/p-7/" rel="nofollow">7</a> <a href="/q-invexity/p-8/" rel="nofollow">8</a> <a href="/q-invexity/p-7/" id="next" rel="nofollow"><b>next</b></a> </div><br></div> </div> <script>document.getElementById('loadingGif').style.display='none';</script><div style="width: 100%; height: 40px; bottom: 0px; background-color: #f5f5f5;"><div style="padding-left: 15px; padding-top: 10px"> <a href="/" rel="nofollow">Home</a> - <a href="/page-about/" rel="nofollow">About</a> - <a href="/page-disclaimer/" rel="nofollow">Disclaimer</a> - <a href="/page-privacy/" rel="nofollow">Privacy</a> </div></div> <link rel="stylesheet" href="//ajax.googleapis.com/ajax/libs/jqueryui/1.11.4/themes/smoothness/jquery-ui.min.css"/> <script> (function(ss,ex){ window.ldfdr=window.ldfdr||function(){(ldfdr._q=ldfdr._q||[]).push([].slice.call(arguments));}; (function(d,s){ fs=d.getElementsByTagName(s)[0]; function ce(src){ var cs=d.createElement(s); cs.src=src; cs.async=1; fs.parentNode.insertBefore(cs,fs); }; ce('https://sc.lfeeder.com/lftracker_v1_'+ss+(ex?'_'+ex:'')+'.js'); })(document,'script'); })('JMvZ8gvrWA9a2pOd'); </script> </body> </html>