<p>In the present paper, we construct a new form of Durrmeyer-type exponential sampling operators via a modified singular integral of Mellin convolution type and we study boundedness properties of our operators in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="25_2025_2509_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^p\left( \mu \right) \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>p</mi> </msup> <mfenced close=")" open="("> <mi>μ</mi> </mfenced> </mrow> </math></EquationSource> </InlineEquation> spaces with respect to the measure <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="25_2025_2509_Article_IEq2.gif" Format="GIF" Height="41" Rendition="HTML" Resolution="72" Type="Linedraw" Width="166" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu \left( E\right) =\displaystyle \int _{E}\frac{dt}{t}, E\subseteq \mathbb {R}_+\)</EquationSource> <EquationSource Format="MATHML"><math> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mi>μ</mi> <mfenced close=")" open="("> <mi>E</mi> </mfenced> <mo>=</mo> <msub> <mo>∫</mo> <mi>E</mi> </msub> <mfrac> <mrow> <mi mathvariant="italic">dt</mi> </mrow> <mi>t</mi> </mfrac> <mo>,</mo> <mi>E</mi> <mo>⊆</mo> <msub> <mi mathvariant="double-struck">R</mi> <mo>+</mo> </msub> </mrow> </mstyle> </math></EquationSource> </InlineEquation>. Furthermore, we investigate norm convergence of our operators in these spaces and we determine rate of convergence via suitable modulus of continuity. Finally, we present some examples of the kernels which satisfy certain assumptions.</p>