<p>We consider <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="9_2025_2984_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\omega \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ω</mi> </math></EquationSource> </InlineEquation>-minimizers of the largest possible family of functionals exhibiting non-standard growth conditions and non-uniform ellipticity behaviours of the type <Equation ID="Equ120"> <MediaObject> <ImageObject Color="BlackWhite" FileRef="9_2025_2984_Article_Equ120.gif" Format="GIF" Height="41" Rendition="HTML" Resolution="72" Type="Linedraw" Width="237" /> </MediaObject> <EquationSource Format="TEX">\(\begin{aligned} w \mapsto \int _{\Omega }\left( |D w|^{p}+a(x)|D w|^{q}\right) \mathrm{{d}}x. \end{aligned}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mtable> <mtr> <mtd columnalign="right"> <mrow> <mi>w</mi> <mo>↦</mo> <msub> <mo>∫</mo> <mi mathvariant="normal">Ω</mi> </msub> <mfenced close=")" open="("> <msup> <mrow> <mo stretchy="false">|</mo> <mi>D</mi> <mi>w</mi> <mo stretchy="false">|</mo> </mrow> <mi>p</mi> </msup> <mo>+</mo> <mi>a</mi> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <msup> <mrow> <mo stretchy="false">|</mo> <mi>D</mi> <mi>w</mi> <mo stretchy="false">|</mo> </mrow> <mi>q</mi> </msup> </mfenced> <mi mathvariant="normal">d</mi> <mi>x</mi> <mo>.</mo> </mrow> </mtd> </mtr> </mtable> </mrow> </math></EquationSource> </Equation>Calderón–Zygmund type estimates for the above general functionals with double phase are obtained.</p>